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Finding the Third Proportional to 185,964 and 402,830

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Solution

The third proportional to 185,964 and 402,830 is: 872,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,964 : 402,830 = 402,830 : x
  2. Step 2: Convert to fraction form
    185,964/402,830 = 402,830/x
  3. Step 3: Cross multiply
    185,964x = 402,830 × 402,830
  4. Step 4: Simplify right side
    185,964x = 162,272,008,900
  5. Step 5: Solve for x
    x = 162,272,008,900/185,964
  6. Step 6: Final answer
    x = 872,599.05

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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.