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Finding the Third Proportional to 186,019.50 and 403,750.25

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Solution

The third proportional to 186,019.50 and 403,750.25 is: 876,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,019.50 : 403,750.25 = 403,750.25 : x
  2. Step 2: Convert to fraction form
    186,019.50/403,750.25 = 403,750.25/x
  3. Step 3: Cross multiply
    186,019.50x = 403,750.25 × 403,750.25
  4. Step 4: Simplify right side
    186,019.50x = 163,014,264,375.06
  5. Step 5: Solve for x
    x = 163,014,264,375.06/186,019.50
  6. Step 6: Final answer
    x = 876,328.90

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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.