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Finding the Third Proportional to 164,454 and 359,664

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Solution

The third proportional to 164,454 and 359,664 is: 786,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,454 : 359,664 = 359,664 : x
  2. Step 2: Convert to fraction form
    164,454/359,664 = 359,664/x
  3. Step 3: Cross multiply
    164,454x = 359,664 × 359,664
  4. Step 4: Simplify right side
    164,454x = 129,358,192,896
  5. Step 5: Solve for x
    x = 129,358,192,896/164,454
  6. Step 6: Final answer
    x = 786,591.95

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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.