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Finding the Third Proportional to 152,548 and 329,274

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Solution

The third proportional to 152,548 and 329,274 is: 710,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,548 : 329,274 = 329,274 : x
  2. Step 2: Convert to fraction form
    152,548/329,274 = 329,274/x
  3. Step 3: Cross multiply
    152,548x = 329,274 × 329,274
  4. Step 4: Simplify right side
    152,548x = 108,421,367,076
  5. Step 5: Solve for x
    x = 108,421,367,076/152,548
  6. Step 6: Final answer
    x = 710,736.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.