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Finding the Third Proportional to 164,156.50 and 359,453

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Solution

The third proportional to 164,156.50 and 359,453 is: 787,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,156.50 : 359,453 = 359,453 : x
  2. Step 2: Convert to fraction form
    164,156.50/359,453 = 359,453/x
  3. Step 3: Cross multiply
    164,156.50x = 359,453 × 359,453
  4. Step 4: Simplify right side
    164,156.50x = 129,206,459,209
  5. Step 5: Solve for x
    x = 129,206,459,209/164,156.50
  6. Step 6: Final answer
    x = 787,093.17

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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.