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Finding the Third Proportional to 176,402.25 and 265,001.25

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Solution

The third proportional to 176,402.25 and 265,001.25 is: 398,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,402.25 : 265,001.25 = 265,001.25 : x
  2. Step 2: Convert to fraction form
    176,402.25/265,001.25 = 265,001.25/x
  3. Step 3: Cross multiply
    176,402.25x = 265,001.25 × 265,001.25
  4. Step 4: Simplify right side
    176,402.25x = 70,225,662,501.56
  5. Step 5: Solve for x
    x = 70,225,662,501.56/176,402.25
  6. Step 6: Final answer
    x = 398,099.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.