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Finding the Third Proportional to 176,141.50 and 392,623.50

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Solution

The third proportional to 176,141.50 and 392,623.50 is: 875,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,141.50 : 392,623.50 = 392,623.50 : x
  2. Step 2: Convert to fraction form
    176,141.50/392,623.50 = 392,623.50/x
  3. Step 3: Cross multiply
    176,141.50x = 392,623.50 × 392,623.50
  4. Step 4: Simplify right side
    176,141.50x = 154,153,212,752.25
  5. Step 5: Solve for x
    x = 154,153,212,752.25/176,141.50
  6. Step 6: Final answer
    x = 875,166.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.