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Finding the Third Proportional to 134,537 and 285,475

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Solution

The third proportional to 134,537 and 285,475 is: 605,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,537 : 285,475 = 285,475 : x
  2. Step 2: Convert to fraction form
    134,537/285,475 = 285,475/x
  3. Step 3: Cross multiply
    134,537x = 285,475 × 285,475
  4. Step 4: Simplify right side
    134,537x = 81,495,975,625
  5. Step 5: Solve for x
    x = 81,495,975,625/134,537
  6. Step 6: Final answer
    x = 605,751.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.