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Finding the Third Proportional to 186,528.60 and 399,671.40

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Solution

The third proportional to 186,528.60 and 399,671.40 is: 856,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,528.60 : 399,671.40 = 399,671.40 : x
  2. Step 2: Convert to fraction form
    186,528.60/399,671.40 = 399,671.40/x
  3. Step 3: Cross multiply
    186,528.60x = 399,671.40 × 399,671.40
  4. Step 4: Simplify right side
    186,528.60x = 159,737,229,851.43
  5. Step 5: Solve for x
    x = 159,737,229,851.43/186,528.60
  6. Step 6: Final answer
    x = 856,368.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.