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Finding the Third Proportional to 157,504.50 and 242,088.75

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Solution

The third proportional to 157,504.50 and 242,088.75 is: 372,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,504.50 : 242,088.75 = 242,088.75 : x
  2. Step 2: Convert to fraction form
    157,504.50/242,088.75 = 242,088.75/x
  3. Step 3: Cross multiply
    157,504.50x = 242,088.75 × 242,088.75
  4. Step 4: Simplify right side
    157,504.50x = 58,606,962,876.56
  5. Step 5: Solve for x
    x = 58,606,962,876.56/157,504.50
  6. Step 6: Final answer
    x = 372,097.07

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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.