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Finding the Third Proportional to 148,688 and 330,464

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Solution

The third proportional to 148,688 and 330,464 is: 734,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,688 : 330,464 = 330,464 : x
  2. Step 2: Convert to fraction form
    148,688/330,464 = 330,464/x
  3. Step 3: Cross multiply
    148,688x = 330,464 × 330,464
  4. Step 4: Simplify right side
    148,688x = 109,206,455,296
  5. Step 5: Solve for x
    x = 109,206,455,296/148,688
  6. Step 6: Final answer
    x = 734,467.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.