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Finding the Third Proportional to 232,396 and 357,666

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Solution

The third proportional to 232,396 and 357,666 is: 550,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,396 : 357,666 = 357,666 : x
  2. Step 2: Convert to fraction form
    232,396/357,666 = 357,666/x
  3. Step 3: Cross multiply
    232,396x = 357,666 × 357,666
  4. Step 4: Simplify right side
    232,396x = 127,924,967,556
  5. Step 5: Solve for x
    x = 127,924,967,556/232,396
  6. Step 6: Final answer
    x = 550,461.14

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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.