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Finding the Third Proportional to 176,329.50 and 257,109

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Solution

The third proportional to 176,329.50 and 257,109 is: 374,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,329.50 : 257,109 = 257,109 : x
  2. Step 2: Convert to fraction form
    176,329.50/257,109 = 257,109/x
  3. Step 3: Cross multiply
    176,329.50x = 257,109 × 257,109
  4. Step 4: Simplify right side
    176,329.50x = 66,105,037,881
  5. Step 5: Solve for x
    x = 66,105,037,881/176,329.50
  6. Step 6: Final answer
    x = 374,894.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.