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Finding the Third Proportional to 152,214 and 328,819

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Solution

The third proportional to 152,214 and 328,819 is: 710,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,214 : 328,819 = 328,819 : x
  2. Step 2: Convert to fraction form
    152,214/328,819 = 328,819/x
  3. Step 3: Cross multiply
    152,214x = 328,819 × 328,819
  4. Step 4: Simplify right side
    152,214x = 108,121,934,761
  5. Step 5: Solve for x
    x = 108,121,934,761/152,214
  6. Step 6: Final answer
    x = 710,328.45

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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.