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Finding the Third Proportional to 186,688 and 409,666

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Solution

The third proportional to 186,688 and 409,666 is: 898,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,688 : 409,666 = 409,666 : x
  2. Step 2: Convert to fraction form
    186,688/409,666 = 409,666/x
  3. Step 3: Cross multiply
    186,688x = 409,666 × 409,666
  4. Step 4: Simplify right side
    186,688x = 167,826,231,556
  5. Step 5: Solve for x
    x = 167,826,231,556/186,688
  6. Step 6: Final answer
    x = 898,966.36

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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.