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Finding the Third Proportional to 245,352.38 and 369,257.06

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Solution

The third proportional to 245,352.38 and 369,257.06 is: 555,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,352.38 : 369,257.06 = 369,257.06 : x
  2. Step 2: Convert to fraction form
    245,352.38/369,257.06 = 369,257.06/x
  3. Step 3: Cross multiply
    245,352.38x = 369,257.06 × 369,257.06
  4. Step 4: Simplify right side
    245,352.38x = 136,350,778,206.13
  5. Step 5: Solve for x
    x = 136,350,778,206.13/245,352.38
  6. Step 6: Final answer
    x = 555,734.49

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