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Finding the Third Proportional to 134,046 and 287,538

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Solution

The third proportional to 134,046 and 287,538 is: 616,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,046 : 287,538 = 287,538 : x
  2. Step 2: Convert to fraction form
    134,046/287,538 = 287,538/x
  3. Step 3: Cross multiply
    134,046x = 287,538 × 287,538
  4. Step 4: Simplify right side
    134,046x = 82,678,101,444
  5. Step 5: Solve for x
    x = 82,678,101,444/134,046
  6. Step 6: Final answer
    x = 616,789.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.