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Finding the Third Proportional to 262,374.19 and 371,569.78

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Solution

The third proportional to 262,374.19 and 371,569.78 is: 526,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,374.19 : 371,569.78 = 371,569.78 : x
  2. Step 2: Convert to fraction form
    262,374.19/371,569.78 = 371,569.78/x
  3. Step 3: Cross multiply
    262,374.19x = 371,569.78 × 371,569.78
  4. Step 4: Simplify right side
    262,374.19x = 138,064,102,338.17
  5. Step 5: Solve for x
    x = 138,064,102,338.17/262,374.19
  6. Step 6: Final answer
    x = 526,210.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.