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Finding the Third Proportional to 245,038.22 and 371,251.69

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Solution

The third proportional to 245,038.22 and 371,251.69 is: 562,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,038.22 : 371,251.69 = 371,251.69 : x
  2. Step 2: Convert to fraction form
    245,038.22/371,251.69 = 371,251.69/x
  3. Step 3: Cross multiply
    245,038.22x = 371,251.69 × 371,251.69
  4. Step 4: Simplify right side
    245,038.22x = 137,827,815,471.60
  5. Step 5: Solve for x
    x = 137,827,815,471.60/245,038.22
  6. Step 6: Final answer
    x = 562,474.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.