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Finding the Third Proportional to 147,233 and 318,010

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Solution

The third proportional to 147,233 and 318,010 is: 686,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,233 : 318,010 = 318,010 : x
  2. Step 2: Convert to fraction form
    147,233/318,010 = 318,010/x
  3. Step 3: Cross multiply
    147,233x = 318,010 × 318,010
  4. Step 4: Simplify right side
    147,233x = 101,130,360,100
  5. Step 5: Solve for x
    x = 101,130,360,100/147,233
  6. Step 6: Final answer
    x = 686,872.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.