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Finding the Third Proportional to 261,041.06 and 415,371.38

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Solution

The third proportional to 261,041.06 and 415,371.38 is: 660,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,041.06 : 415,371.38 = 415,371.38 : x
  2. Step 2: Convert to fraction form
    261,041.06/415,371.38 = 415,371.38/x
  3. Step 3: Cross multiply
    261,041.06x = 415,371.38 × 415,371.38
  4. Step 4: Simplify right side
    261,041.06x = 172,533,379,169.39
  5. Step 5: Solve for x
    x = 172,533,379,169.39/261,041.06
  6. Step 6: Final answer
    x = 660,943.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.