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Finding the Third Proportional to 145,856 and 218,786

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Solution

The third proportional to 145,856 and 218,786 is: 328,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856 : 218,786 = 218,786 : x
  2. Step 2: Convert to fraction form
    145,856/218,786 = 218,786/x
  3. Step 3: Cross multiply
    145,856x = 218,786 × 218,786
  4. Step 4: Simplify right side
    145,856x = 47,867,313,796
  5. Step 5: Solve for x
    x = 47,867,313,796/145,856
  6. Step 6: Final answer
    x = 328,182.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.