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Finding the Third Proportional to 147,292 and 230,416.50

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Solution

The third proportional to 147,292 and 230,416.50 is: 360,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,292 : 230,416.50 = 230,416.50 : x
  2. Step 2: Convert to fraction form
    147,292/230,416.50 = 230,416.50/x
  3. Step 3: Cross multiply
    147,292x = 230,416.50 × 230,416.50
  4. Step 4: Simplify right side
    147,292x = 53,091,763,472.25
  5. Step 5: Solve for x
    x = 53,091,763,472.25/147,292
  6. Step 6: Final answer
    x = 360,452.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.