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Finding the Third Proportional to 225,315 and 348,755

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Solution

The third proportional to 225,315 and 348,755 is: 539,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,315 : 348,755 = 348,755 : x
  2. Step 2: Convert to fraction form
    225,315/348,755 = 348,755/x
  3. Step 3: Cross multiply
    225,315x = 348,755 × 348,755
  4. Step 4: Simplify right side
    225,315x = 121,630,050,025
  5. Step 5: Solve for x
    x = 121,630,050,025/225,315
  6. Step 6: Final answer
    x = 539,822.25

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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.