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Finding the Third Proportional to 133,650 and 278,358

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Solution

The third proportional to 133,650 and 278,358 is: 579,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,650 : 278,358 = 278,358 : x
  2. Step 2: Convert to fraction form
    133,650/278,358 = 278,358/x
  3. Step 3: Cross multiply
    133,650x = 278,358 × 278,358
  4. Step 4: Simplify right side
    133,650x = 77,483,176,164
  5. Step 5: Solve for x
    x = 77,483,176,164/133,650
  6. Step 6: Final answer
    x = 579,746.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.