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Finding the Third Proportional to 152,965 and 328,074

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Solution

The third proportional to 152,965 and 328,074 is: 703,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,965 : 328,074 = 328,074 : x
  2. Step 2: Convert to fraction form
    152,965/328,074 = 328,074/x
  3. Step 3: Cross multiply
    152,965x = 328,074 × 328,074
  4. Step 4: Simplify right side
    152,965x = 107,632,549,476
  5. Step 5: Solve for x
    x = 107,632,549,476/152,965
  6. Step 6: Final answer
    x = 703,641.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.