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Finding the Third Proportional to 141,036 and 307,792

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Solution

The third proportional to 141,036 and 307,792 is: 671,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,036 : 307,792 = 307,792 : x
  2. Step 2: Convert to fraction form
    141,036/307,792 = 307,792/x
  3. Step 3: Cross multiply
    141,036x = 307,792 × 307,792
  4. Step 4: Simplify right side
    141,036x = 94,735,915,264
  5. Step 5: Solve for x
    x = 94,735,915,264/141,036
  6. Step 6: Final answer
    x = 671,714.42

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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.