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Finding the Third Proportional to 157,337.75 and 241,979.50

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Solution

The third proportional to 157,337.75 and 241,979.50 is: 372,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,337.75 : 241,979.50 = 241,979.50 : x
  2. Step 2: Convert to fraction form
    157,337.75/241,979.50 = 241,979.50/x
  3. Step 3: Cross multiply
    157,337.75x = 241,979.50 × 241,979.50
  4. Step 4: Simplify right side
    157,337.75x = 58,554,078,420.25
  5. Step 5: Solve for x
    x = 58,554,078,420.25/157,337.75
  6. Step 6: Final answer
    x = 372,155.31

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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.