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Finding the Third Proportional to 157,237 and 241,972.50

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Solution

The third proportional to 157,237 and 241,972.50 is: 372,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,237 : 241,972.50 = 241,972.50 : x
  2. Step 2: Convert to fraction form
    157,237/241,972.50 = 241,972.50/x
  3. Step 3: Cross multiply
    157,237x = 241,972.50 × 241,972.50
  4. Step 4: Simplify right side
    157,237x = 58,550,690,756.25
  5. Step 5: Solve for x
    x = 58,550,690,756.25/157,237
  6. Step 6: Final answer
    x = 372,372.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.