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Finding the Third Proportional to 186,176 and 287,688

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Solution

The third proportional to 186,176 and 287,688 is: 444,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,176 : 287,688 = 287,688 : x
  2. Step 2: Convert to fraction form
    186,176/287,688 = 287,688/x
  3. Step 3: Cross multiply
    186,176x = 287,688 × 287,688
  4. Step 4: Simplify right side
    186,176x = 82,764,385,344
  5. Step 5: Solve for x
    x = 82,764,385,344/186,176
  6. Step 6: Final answer
    x = 444,549.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.