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Finding the Third Proportional to 157,527 and 239,203

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Solution

The third proportional to 157,527 and 239,203 is: 363,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,527 : 239,203 = 239,203 : x
  2. Step 2: Convert to fraction form
    157,527/239,203 = 239,203/x
  3. Step 3: Cross multiply
    157,527x = 239,203 × 239,203
  4. Step 4: Simplify right side
    157,527x = 57,218,075,209
  5. Step 5: Solve for x
    x = 57,218,075,209/157,527
  6. Step 6: Final answer
    x = 363,227.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.