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Finding the Third Proportional to 236,470 and 357,502

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Solution

The third proportional to 236,470 and 357,502 is: 540,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,470 : 357,502 = 357,502 : x
  2. Step 2: Convert to fraction form
    236,470/357,502 = 357,502/x
  3. Step 3: Cross multiply
    236,470x = 357,502 × 357,502
  4. Step 4: Simplify right side
    236,470x = 127,807,680,004
  5. Step 5: Solve for x
    x = 127,807,680,004/236,470
  6. Step 6: Final answer
    x = 540,481.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.