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Finding the Third Proportional to 186,492.38 and 286,817.63

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Solution

The third proportional to 186,492.38 and 286,817.63 is: 441,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,492.38 : 286,817.63 = 286,817.63 : x
  2. Step 2: Convert to fraction form
    186,492.38/286,817.63 = 286,817.63/x
  3. Step 3: Cross multiply
    186,492.38x = 286,817.63 × 286,817.63
  4. Step 4: Simplify right side
    186,492.38x = 82,264,350,010.64
  5. Step 5: Solve for x
    x = 82,264,350,010.64/186,492.38
  6. Step 6: Final answer
    x = 441,113.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.