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Finding the Third Proportional to 145,246.50 and 311,229

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Solution

The third proportional to 145,246.50 and 311,229 is: 666,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,246.50 : 311,229 = 311,229 : x
  2. Step 2: Convert to fraction form
    145,246.50/311,229 = 311,229/x
  3. Step 3: Cross multiply
    145,246.50x = 311,229 × 311,229
  4. Step 4: Simplify right side
    145,246.50x = 96,863,490,441
  5. Step 5: Solve for x
    x = 96,863,490,441/145,246.50
  6. Step 6: Final answer
    x = 666,890.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.