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Finding the Third Proportional to 153,902 and 236,402

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Solution

The third proportional to 153,902 and 236,402 is: 363,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902 : 236,402 = 236,402 : x
  2. Step 2: Convert to fraction form
    153,902/236,402 = 236,402/x
  3. Step 3: Cross multiply
    153,902x = 236,402 × 236,402
  4. Step 4: Simplify right side
    153,902x = 55,885,905,604
  5. Step 5: Solve for x
    x = 55,885,905,604/153,902
  6. Step 6: Final answer
    x = 363,126.57

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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.