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Finding the Third Proportional to 144,262 and 315,074

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Solution

The third proportional to 144,262 and 315,074 is: 688,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,262 : 315,074 = 315,074 : x
  2. Step 2: Convert to fraction form
    144,262/315,074 = 315,074/x
  3. Step 3: Cross multiply
    144,262x = 315,074 × 315,074
  4. Step 4: Simplify right side
    144,262x = 99,271,625,476
  5. Step 5: Solve for x
    x = 99,271,625,476/144,262
  6. Step 6: Final answer
    x = 688,134.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.