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Finding the Third Proportional to 158,060 and 242,369

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Solution

The third proportional to 158,060 and 242,369 is: 371,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,060 : 242,369 = 242,369 : x
  2. Step 2: Convert to fraction form
    158,060/242,369 = 242,369/x
  3. Step 3: Cross multiply
    158,060x = 242,369 × 242,369
  4. Step 4: Simplify right side
    158,060x = 58,742,732,161
  5. Step 5: Solve for x
    x = 58,742,732,161/158,060
  6. Step 6: Final answer
    x = 371,648.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.