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Finding the Third Proportional to 147,996 and 209,403

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Solution

The third proportional to 147,996 and 209,403 is: 296,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,996 : 209,403 = 209,403 : x
  2. Step 2: Convert to fraction form
    147,996/209,403 = 209,403/x
  3. Step 3: Cross multiply
    147,996x = 209,403 × 209,403
  4. Step 4: Simplify right side
    147,996x = 43,849,616,409
  5. Step 5: Solve for x
    x = 43,849,616,409/147,996
  6. Step 6: Final answer
    x = 296,289.20

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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.