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Finding the Third Proportional to 142,673.27 and 221,223.02

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Solution

The third proportional to 142,673.27 and 221,223.02 is: 343,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,673.27 : 221,223.02 = 221,223.02 : x
  2. Step 2: Convert to fraction form
    142,673.27/221,223.02 = 221,223.02/x
  3. Step 3: Cross multiply
    142,673.27x = 221,223.02 × 221,223.02
  4. Step 4: Simplify right side
    142,673.27x = 48,939,626,098.83
  5. Step 5: Solve for x
    x = 48,939,626,098.83/142,673.27
  6. Step 6: Final answer
    x = 343,018.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.