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Finding the Third Proportional to 147,881 and 240,276

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Solution

The third proportional to 147,881 and 240,276 is: 390,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,881 : 240,276 = 240,276 : x
  2. Step 2: Convert to fraction form
    147,881/240,276 = 240,276/x
  3. Step 3: Cross multiply
    147,881x = 240,276 × 240,276
  4. Step 4: Simplify right side
    147,881x = 57,732,556,176
  5. Step 5: Solve for x
    x = 57,732,556,176/147,881
  6. Step 6: Final answer
    x = 390,398.74

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.