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Finding the Third Proportional to 346,342.50 and 501,153.75

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Solution

The third proportional to 346,342.50 and 501,153.75 is: 725,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,342.50 : 501,153.75 = 501,153.75 : x
  2. Step 2: Convert to fraction form
    346,342.50/501,153.75 = 501,153.75/x
  3. Step 3: Cross multiply
    346,342.50x = 501,153.75 × 501,153.75
  4. Step 4: Simplify right side
    346,342.50x = 251,155,081,139.06
  5. Step 5: Solve for x
    x = 251,155,081,139.06/346,342.50
  6. Step 6: Final answer
    x = 725,163.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.