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Finding the Third Proportional to 141,654 and 287,412

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Solution

The third proportional to 141,654 and 287,412 is: 583,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,654 : 287,412 = 287,412 : x
  2. Step 2: Convert to fraction form
    141,654/287,412 = 287,412/x
  3. Step 3: Cross multiply
    141,654x = 287,412 × 287,412
  4. Step 4: Simplify right side
    141,654x = 82,605,657,744
  5. Step 5: Solve for x
    x = 82,605,657,744/141,654
  6. Step 6: Final answer
    x = 583,150.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.