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Finding the Third Proportional to 152,597 and 331,465

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Solution

The third proportional to 152,597 and 331,465 is: 719,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,597 : 331,465 = 331,465 : x
  2. Step 2: Convert to fraction form
    152,597/331,465 = 331,465/x
  3. Step 3: Cross multiply
    152,597x = 331,465 × 331,465
  4. Step 4: Simplify right side
    152,597x = 109,869,046,225
  5. Step 5: Solve for x
    x = 109,869,046,225/152,597
  6. Step 6: Final answer
    x = 719,994.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.