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Finding the Third Proportional to 245,854.75 and 371,040.50

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Solution

The third proportional to 245,854.75 and 371,040.50 is: 559,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,854.75 : 371,040.50 = 371,040.50 : x
  2. Step 2: Convert to fraction form
    245,854.75/371,040.50 = 371,040.50/x
  3. Step 3: Cross multiply
    245,854.75x = 371,040.50 × 371,040.50
  4. Step 4: Simplify right side
    245,854.75x = 137,671,052,640.25
  5. Step 5: Solve for x
    x = 137,671,052,640.25/245,854.75
  6. Step 6: Final answer
    x = 559,969.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.