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Finding the Third Proportional to 225,070 and 348,386

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Solution

The third proportional to 225,070 and 348,386 is: 539,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,070 : 348,386 = 348,386 : x
  2. Step 2: Convert to fraction form
    225,070/348,386 = 348,386/x
  3. Step 3: Cross multiply
    225,070x = 348,386 × 348,386
  4. Step 4: Simplify right side
    225,070x = 121,372,804,996
  5. Step 5: Solve for x
    x = 121,372,804,996/225,070
  6. Step 6: Final answer
    x = 539,266.92

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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.