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Finding the Third Proportional to 185,943 and 402,786

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Solution

The third proportional to 185,943 and 402,786 is: 872,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,943 : 402,786 = 402,786 : x
  2. Step 2: Convert to fraction form
    185,943/402,786 = 402,786/x
  3. Step 3: Cross multiply
    185,943x = 402,786 × 402,786
  4. Step 4: Simplify right side
    185,943x = 162,236,561,796
  5. Step 5: Solve for x
    x = 162,236,561,796/185,943
  6. Step 6: Final answer
    x = 872,506.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.