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Finding the Third Proportional to 233,221.50 and 507,926.25

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Solution

The third proportional to 233,221.50 and 507,926.25 is: 1,106,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,221.50 : 507,926.25 = 507,926.25 : x
  2. Step 2: Convert to fraction form
    233,221.50/507,926.25 = 507,926.25/x
  3. Step 3: Cross multiply
    233,221.50x = 507,926.25 × 507,926.25
  4. Step 4: Simplify right side
    233,221.50x = 257,989,075,439.06
  5. Step 5: Solve for x
    x = 257,989,075,439.06/233,221.50
  6. Step 6: Final answer
    x = 1,106,197.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.