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Finding the Third Proportional to 141,397 and 292,639

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Solution

The third proportional to 141,397 and 292,639 is: 605,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,397 : 292,639 = 292,639 : x
  2. Step 2: Convert to fraction form
    141,397/292,639 = 292,639/x
  3. Step 3: Cross multiply
    141,397x = 292,639 × 292,639
  4. Step 4: Simplify right side
    141,397x = 85,637,584,321
  5. Step 5: Solve for x
    x = 85,637,584,321/141,397
  6. Step 6: Final answer
    x = 605,653.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.