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Finding the Third Proportional to 153,308 and 329,932

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Solution

The third proportional to 153,308 and 329,932 is: 710,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,308 : 329,932 = 329,932 : x
  2. Step 2: Convert to fraction form
    153,308/329,932 = 329,932/x
  3. Step 3: Cross multiply
    153,308x = 329,932 × 329,932
  4. Step 4: Simplify right side
    153,308x = 108,855,124,624
  5. Step 5: Solve for x
    x = 108,855,124,624/153,308
  6. Step 6: Final answer
    x = 710,042.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.