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Finding the Third Proportional to 225,683 and 357,020

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Solution

The third proportional to 225,683 and 357,020 is: 564,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,683 : 357,020 = 357,020 : x
  2. Step 2: Convert to fraction form
    225,683/357,020 = 357,020/x
  3. Step 3: Cross multiply
    225,683x = 357,020 × 357,020
  4. Step 4: Simplify right side
    225,683x = 127,463,280,400
  5. Step 5: Solve for x
    x = 127,463,280,400/225,683
  6. Step 6: Final answer
    x = 564,789.02

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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.