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Finding the Third Proportional to 144,298 and 309,332

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Solution

The third proportional to 144,298 and 309,332 is: 663,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,298 : 309,332 = 309,332 : x
  2. Step 2: Convert to fraction form
    144,298/309,332 = 309,332/x
  3. Step 3: Cross multiply
    144,298x = 309,332 × 309,332
  4. Step 4: Simplify right side
    144,298x = 95,686,286,224
  5. Step 5: Solve for x
    x = 95,686,286,224/144,298
  6. Step 6: Final answer
    x = 663,115.82

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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.