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Finding the Third Proportional to 147,856 and 304,416

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Solution

The third proportional to 147,856 and 304,416 is: 626,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,856 : 304,416 = 304,416 : x
  2. Step 2: Convert to fraction form
    147,856/304,416 = 304,416/x
  3. Step 3: Cross multiply
    147,856x = 304,416 × 304,416
  4. Step 4: Simplify right side
    147,856x = 92,669,101,056
  5. Step 5: Solve for x
    x = 92,669,101,056/147,856
  6. Step 6: Final answer
    x = 626,752.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.