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Finding the Third Proportional to 281,947.50 and 608,229

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Solution

The third proportional to 281,947.50 and 608,229 is: 1,312,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,947.50 : 608,229 = 608,229 : x
  2. Step 2: Convert to fraction form
    281,947.50/608,229 = 608,229/x
  3. Step 3: Cross multiply
    281,947.50x = 608,229 × 608,229
  4. Step 4: Simplify right side
    281,947.50x = 369,942,516,441
  5. Step 5: Solve for x
    x = 369,942,516,441/281,947.50
  6. Step 6: Final answer
    x = 1,312,097.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.