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Finding the Third Proportional to 151,533 and 237,710

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Solution

The third proportional to 151,533 and 237,710 is: 372,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,533 : 237,710 = 237,710 : x
  2. Step 2: Convert to fraction form
    151,533/237,710 = 237,710/x
  3. Step 3: Cross multiply
    151,533x = 237,710 × 237,710
  4. Step 4: Simplify right side
    151,533x = 56,506,044,100
  5. Step 5: Solve for x
    x = 56,506,044,100/151,533
  6. Step 6: Final answer
    x = 372,895.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.