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Finding the Third Proportional to 186,750 and 268,461

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Solution

The third proportional to 186,750 and 268,461 is: 385,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,750 : 268,461 = 268,461 : x
  2. Step 2: Convert to fraction form
    186,750/268,461 = 268,461/x
  3. Step 3: Cross multiply
    186,750x = 268,461 × 268,461
  4. Step 4: Simplify right side
    186,750x = 72,071,308,521
  5. Step 5: Solve for x
    x = 72,071,308,521/186,750
  6. Step 6: Final answer
    x = 385,924.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.