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Finding the Third Proportional to 153,912 and 236,418

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Solution

The third proportional to 153,912 and 236,418 is: 363,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,912 : 236,418 = 236,418 : x
  2. Step 2: Convert to fraction form
    153,912/236,418 = 236,418/x
  3. Step 3: Cross multiply
    153,912x = 236,418 × 236,418
  4. Step 4: Simplify right side
    153,912x = 55,893,470,724
  5. Step 5: Solve for x
    x = 55,893,470,724/153,912
  6. Step 6: Final answer
    x = 363,152.13

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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.