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Finding the Third Proportional to 157,585.50 and 242,210.25

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Solution

The third proportional to 157,585.50 and 242,210.25 is: 372,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,585.50 : 242,210.25 = 242,210.25 : x
  2. Step 2: Convert to fraction form
    157,585.50/242,210.25 = 242,210.25/x
  3. Step 3: Cross multiply
    157,585.50x = 242,210.25 × 242,210.25
  4. Step 4: Simplify right side
    157,585.50x = 58,665,805,205.06
  5. Step 5: Solve for x
    x = 58,665,805,205.06/157,585.50
  6. Step 6: Final answer
    x = 372,279.21

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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.