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Finding the Third Proportional to 130,529.50 and 286,277

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Solution

The third proportional to 130,529.50 and 286,277 is: 627,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,529.50 : 286,277 = 286,277 : x
  2. Step 2: Convert to fraction form
    130,529.50/286,277 = 286,277/x
  3. Step 3: Cross multiply
    130,529.50x = 286,277 × 286,277
  4. Step 4: Simplify right side
    130,529.50x = 81,954,520,729
  5. Step 5: Solve for x
    x = 81,954,520,729/130,529.50
  6. Step 6: Final answer
    x = 627,862.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.