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Finding the Third Proportional to 176,564.50 and 226,705.50

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Solution

The third proportional to 176,564.50 and 226,705.50 is: 291,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564.50 : 226,705.50 = 226,705.50 : x
  2. Step 2: Convert to fraction form
    176,564.50/226,705.50 = 226,705.50/x
  3. Step 3: Cross multiply
    176,564.50x = 226,705.50 × 226,705.50
  4. Step 4: Simplify right side
    176,564.50x = 51,395,383,730.25
  5. Step 5: Solve for x
    x = 51,395,383,730.25/176,564.50
  6. Step 6: Final answer
    x = 291,085.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.