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Finding the Third Proportional to 148,981 and 325,813.63

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Solution

The third proportional to 148,981 and 325,813.63 is: 712,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,981 : 325,813.63 = 325,813.63 : x
  2. Step 2: Convert to fraction form
    148,981/325,813.63 = 325,813.63/x
  3. Step 3: Cross multiply
    148,981x = 325,813.63 × 325,813.63
  4. Step 4: Simplify right side
    148,981x = 106,154,518,235.64
  5. Step 5: Solve for x
    x = 106,154,518,235.64/148,981
  6. Step 6: Final answer
    x = 712,537.29

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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.