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Finding the Third Proportional to 143,248.50 and 307,638

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Solution

The third proportional to 143,248.50 and 307,638 is: 660,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,248.50 : 307,638 = 307,638 : x
  2. Step 2: Convert to fraction form
    143,248.50/307,638 = 307,638/x
  3. Step 3: Cross multiply
    143,248.50x = 307,638 × 307,638
  4. Step 4: Simplify right side
    143,248.50x = 94,641,139,044
  5. Step 5: Solve for x
    x = 94,641,139,044/143,248.50
  6. Step 6: Final answer
    x = 660,678.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.