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Finding the Third Proportional to 119,981.63 and 262,562.25

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Solution

The third proportional to 119,981.63 and 262,562.25 is: 574,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,981.63 : 262,562.25 = 262,562.25 : x
  2. Step 2: Convert to fraction form
    119,981.63/262,562.25 = 262,562.25/x
  3. Step 3: Cross multiply
    119,981.63x = 262,562.25 × 262,562.25
  4. Step 4: Simplify right side
    119,981.63x = 68,938,935,125.06
  5. Step 5: Solve for x
    x = 68,938,935,125.06/119,981.63
  6. Step 6: Final answer
    x = 574,579.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.