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Finding the Third Proportional to 245,854.13 and 371,042.72

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Solution

The third proportional to 245,854.13 and 371,042.72 is: 559,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,854.13 : 371,042.72 = 371,042.72 : x
  2. Step 2: Convert to fraction form
    245,854.13/371,042.72 = 371,042.72/x
  3. Step 3: Cross multiply
    245,854.13x = 371,042.72 × 371,042.72
  4. Step 4: Simplify right side
    245,854.13x = 137,672,699,137.39
  5. Step 5: Solve for x
    x = 137,672,699,137.39/245,854.13
  6. Step 6: Final answer
    x = 559,977.18

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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.