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Finding the Third Proportional to 186,020.50 and 403,752.50

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Solution

The third proportional to 186,020.50 and 403,752.50 is: 876,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,020.50 : 403,752.50 = 403,752.50 : x
  2. Step 2: Convert to fraction form
    186,020.50/403,752.50 = 403,752.50/x
  3. Step 3: Cross multiply
    186,020.50x = 403,752.50 × 403,752.50
  4. Step 4: Simplify right side
    186,020.50x = 163,016,081,256.25
  5. Step 5: Solve for x
    x = 163,016,081,256.25/186,020.50
  6. Step 6: Final answer
    x = 876,333.96

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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.