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Finding the Third Proportional to 152,114 and 236,468

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Solution

The third proportional to 152,114 and 236,468 is: 367,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,114 : 236,468 = 236,468 : x
  2. Step 2: Convert to fraction form
    152,114/236,468 = 236,468/x
  3. Step 3: Cross multiply
    152,114x = 236,468 × 236,468
  4. Step 4: Simplify right side
    152,114x = 55,917,115,024
  5. Step 5: Solve for x
    x = 55,917,115,024/152,114
  6. Step 6: Final answer
    x = 367,600.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.