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Finding the Third Proportional to 152,946 and 329,332

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Solution

The third proportional to 152,946 and 329,332 is: 709,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,946 : 329,332 = 329,332 : x
  2. Step 2: Convert to fraction form
    152,946/329,332 = 329,332/x
  3. Step 3: Cross multiply
    152,946x = 329,332 × 329,332
  4. Step 4: Simplify right side
    152,946x = 108,459,566,224
  5. Step 5: Solve for x
    x = 108,459,566,224/152,946
  6. Step 6: Final answer
    x = 709,136.34

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Why These Related Problems?

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