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Finding the Third Proportional to 123,347.81 and 265,728.94

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Solution

The third proportional to 123,347.81 and 265,728.94 is: 572,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,347.81 : 265,728.94 = 265,728.94 : x
  2. Step 2: Convert to fraction form
    123,347.81/265,728.94 = 265,728.94/x
  3. Step 3: Cross multiply
    123,347.81x = 265,728.94 × 265,728.94
  4. Step 4: Simplify right side
    123,347.81x = 70,611,868,224.88
  5. Step 5: Solve for x
    x = 70,611,868,224.88/123,347.81
  6. Step 6: Final answer
    x = 572,461.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.