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Finding the Third Proportional to 186,918 and 410,023.50

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Solution

The third proportional to 186,918 and 410,023.50 is: 899,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,918 : 410,023.50 = 410,023.50 : x
  2. Step 2: Convert to fraction form
    186,918/410,023.50 = 410,023.50/x
  3. Step 3: Cross multiply
    186,918x = 410,023.50 × 410,023.50
  4. Step 4: Simplify right side
    186,918x = 168,119,270,552.25
  5. Step 5: Solve for x
    x = 168,119,270,552.25/186,918
  6. Step 6: Final answer
    x = 899,427.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.