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Finding the Third Proportional to 152,213 and 328,817

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Solution

The third proportional to 152,213 and 328,817 is: 710,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213 : 328,817 = 328,817 : x
  2. Step 2: Convert to fraction form
    152,213/328,817 = 328,817/x
  3. Step 3: Cross multiply
    152,213x = 328,817 × 328,817
  4. Step 4: Simplify right side
    152,213x = 108,120,619,489
  5. Step 5: Solve for x
    x = 108,120,619,489/152,213
  6. Step 6: Final answer
    x = 710,324.48

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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.