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Finding the Third Proportional to 227,853 and 360,330.75

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Solution

The third proportional to 227,853 and 360,330.75 is: 569,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853 : 360,330.75 = 360,330.75 : x
  2. Step 2: Convert to fraction form
    227,853/360,330.75 = 360,330.75/x
  3. Step 3: Cross multiply
    227,853x = 360,330.75 × 360,330.75
  4. Step 4: Simplify right side
    227,853x = 129,838,249,395.56
  5. Step 5: Solve for x
    x = 129,838,249,395.56/227,853
  6. Step 6: Final answer
    x = 569,833.40

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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.