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Finding the Third Proportional to 225,038 and 348,306

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Solution

The third proportional to 225,038 and 348,306 is: 539,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,038 : 348,306 = 348,306 : x
  2. Step 2: Convert to fraction form
    225,038/348,306 = 348,306/x
  3. Step 3: Cross multiply
    225,038x = 348,306 × 348,306
  4. Step 4: Simplify right side
    225,038x = 121,317,069,636
  5. Step 5: Solve for x
    x = 121,317,069,636/225,038
  6. Step 6: Final answer
    x = 539,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.