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Finding the Third Proportional to 157,902.75 and 242,710.50

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Solution

The third proportional to 157,902.75 and 242,710.50 is: 373,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,902.75 : 242,710.50 = 242,710.50 : x
  2. Step 2: Convert to fraction form
    157,902.75/242,710.50 = 242,710.50/x
  3. Step 3: Cross multiply
    157,902.75x = 242,710.50 × 242,710.50
  4. Step 4: Simplify right side
    157,902.75x = 58,908,386,810.25
  5. Step 5: Solve for x
    x = 58,908,386,810.25/157,902.75
  6. Step 6: Final answer
    x = 373,067.52

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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.