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Finding the Third Proportional to 186,248.25 and 285,376.50

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Solution

The third proportional to 186,248.25 and 285,376.50 is: 437,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,248.25 : 285,376.50 = 285,376.50 : x
  2. Step 2: Convert to fraction form
    186,248.25/285,376.50 = 285,376.50/x
  3. Step 3: Cross multiply
    186,248.25x = 285,376.50 × 285,376.50
  4. Step 4: Simplify right side
    186,248.25x = 81,439,746,752.25
  5. Step 5: Solve for x
    x = 81,439,746,752.25/186,248.25
  6. Step 6: Final answer
    x = 437,264.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.