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Finding the Third Proportional to 186,409 and 296,461.50

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Solution

The third proportional to 186,409 and 296,461.50 is: 471,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,409 : 296,461.50 = 296,461.50 : x
  2. Step 2: Convert to fraction form
    186,409/296,461.50 = 296,461.50/x
  3. Step 3: Cross multiply
    186,409x = 296,461.50 × 296,461.50
  4. Step 4: Simplify right side
    186,409x = 87,889,420,982.25
  5. Step 5: Solve for x
    x = 87,889,420,982.25/186,409
  6. Step 6: Final answer
    x = 471,487.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.