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Finding the Third Proportional to 225,679 and 357,014

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Solution

The third proportional to 225,679 and 357,014 is: 564,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,679 : 357,014 = 357,014 : x
  2. Step 2: Convert to fraction form
    225,679/357,014 = 357,014/x
  3. Step 3: Cross multiply
    225,679x = 357,014 × 357,014
  4. Step 4: Simplify right side
    225,679x = 127,458,996,196
  5. Step 5: Solve for x
    x = 127,458,996,196/225,679
  6. Step 6: Final answer
    x = 564,780.05

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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.