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Finding the Third Proportional to 147,143 and 233,153

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Solution

The third proportional to 147,143 and 233,153 is: 369,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,143 : 233,153 = 233,153 : x
  2. Step 2: Convert to fraction form
    147,143/233,153 = 233,153/x
  3. Step 3: Cross multiply
    147,143x = 233,153 × 233,153
  4. Step 4: Simplify right side
    147,143x = 54,360,321,409
  5. Step 5: Solve for x
    x = 54,360,321,409/147,143
  6. Step 6: Final answer
    x = 369,438.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.