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Finding the Third Proportional to 151,476 and 234,537

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Solution

The third proportional to 151,476 and 234,537 is: 363,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,476 : 234,537 = 234,537 : x
  2. Step 2: Convert to fraction form
    151,476/234,537 = 234,537/x
  3. Step 3: Cross multiply
    151,476x = 234,537 × 234,537
  4. Step 4: Simplify right side
    151,476x = 55,007,604,369
  5. Step 5: Solve for x
    x = 55,007,604,369/151,476
  6. Step 6: Final answer
    x = 363,144.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.