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Finding the Third Proportional to 147,946.50 and 209,341.13

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Solution

The third proportional to 147,946.50 and 209,341.13 is: 296,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,946.50 : 209,341.13 = 209,341.13 : x
  2. Step 2: Convert to fraction form
    147,946.50/209,341.13 = 209,341.13/x
  3. Step 3: Cross multiply
    147,946.50x = 209,341.13 × 209,341.13
  4. Step 4: Simplify right side
    147,946.50x = 43,823,706,616.27
  5. Step 5: Solve for x
    x = 43,823,706,616.27/147,946.50
  6. Step 6: Final answer
    x = 296,213.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.