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Finding the Third Proportional to 140,384 and 229,210

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Solution

The third proportional to 140,384 and 229,210 is: 374,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,384 : 229,210 = 229,210 : x
  2. Step 2: Convert to fraction form
    140,384/229,210 = 229,210/x
  3. Step 3: Cross multiply
    140,384x = 229,210 × 229,210
  4. Step 4: Simplify right side
    140,384x = 52,537,224,100
  5. Step 5: Solve for x
    x = 52,537,224,100/140,384
  6. Step 6: Final answer
    x = 374,239.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.