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Finding the Third Proportional to 157,904 and 242,713

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Solution

The third proportional to 157,904 and 242,713 is: 373,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,904 : 242,713 = 242,713 : x
  2. Step 2: Convert to fraction form
    157,904/242,713 = 242,713/x
  3. Step 3: Cross multiply
    157,904x = 242,713 × 242,713
  4. Step 4: Simplify right side
    157,904x = 58,909,600,369
  5. Step 5: Solve for x
    x = 58,909,600,369/157,904
  6. Step 6: Final answer
    x = 373,072.25

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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.