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Finding the Third Proportional to 158,654 and 357,257

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Solution

The third proportional to 158,654 and 357,257 is: 804,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,654 : 357,257 = 357,257 : x
  2. Step 2: Convert to fraction form
    158,654/357,257 = 357,257/x
  3. Step 3: Cross multiply
    158,654x = 357,257 × 357,257
  4. Step 4: Simplify right side
    158,654x = 127,632,564,049
  5. Step 5: Solve for x
    x = 127,632,564,049/158,654
  6. Step 6: Final answer
    x = 804,471.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.