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Finding the Third Proportional to 207,368 and 309,624

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Solution

The third proportional to 207,368 and 309,624 is: 462,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,368 : 309,624 = 309,624 : x
  2. Step 2: Convert to fraction form
    207,368/309,624 = 309,624/x
  3. Step 3: Cross multiply
    207,368x = 309,624 × 309,624
  4. Step 4: Simplify right side
    207,368x = 95,867,021,376
  5. Step 5: Solve for x
    x = 95,867,021,376/207,368
  6. Step 6: Final answer
    x = 462,303.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.