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Finding the Third Proportional to 63,478 and 148,354

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Solution

The third proportional to 63,478 and 148,354 is: 346,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,478 : 148,354 = 148,354 : x
  2. Step 2: Convert to fraction form
    63,478/148,354 = 148,354/x
  3. Step 3: Cross multiply
    63,478x = 148,354 × 148,354
  4. Step 4: Simplify right side
    63,478x = 22,008,909,316
  5. Step 5: Solve for x
    x = 22,008,909,316/63,478
  6. Step 6: Final answer
    x = 346,717.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.