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Finding the Third Proportional to 147,510 and 234,537

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Solution

The third proportional to 147,510 and 234,537 is: 372,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,510 : 234,537 = 234,537 : x
  2. Step 2: Convert to fraction form
    147,510/234,537 = 234,537/x
  3. Step 3: Cross multiply
    147,510x = 234,537 × 234,537
  4. Step 4: Simplify right side
    147,510x = 55,007,604,369
  5. Step 5: Solve for x
    x = 55,007,604,369/147,510
  6. Step 6: Final answer
    x = 372,907.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.