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Finding the Third Proportional to 157,364 and 240,636

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Solution

The third proportional to 157,364 and 240,636 is: 367,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364 : 240,636 = 240,636 : x
  2. Step 2: Convert to fraction form
    157,364/240,636 = 240,636/x
  3. Step 3: Cross multiply
    157,364x = 240,636 × 240,636
  4. Step 4: Simplify right side
    157,364x = 57,905,684,496
  5. Step 5: Solve for x
    x = 57,905,684,496/157,364
  6. Step 6: Final answer
    x = 367,972.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.