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Finding the Third Proportional to 157,904.25 and 242,712.75

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Solution

The third proportional to 157,904.25 and 242,712.75 is: 373,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,904.25 : 242,712.75 = 242,712.75 : x
  2. Step 2: Convert to fraction form
    157,904.25/242,712.75 = 242,712.75/x
  3. Step 3: Cross multiply
    157,904.25x = 242,712.75 × 242,712.75
  4. Step 4: Simplify right side
    157,904.25x = 58,909,479,012.56
  5. Step 5: Solve for x
    x = 58,909,479,012.56/157,904.25
  6. Step 6: Final answer
    x = 373,070.89

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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.