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Finding the Third Proportional to 180,894.38 and 265,921.88

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Solution

The third proportional to 180,894.38 and 265,921.88 is: 390,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894.38 : 265,921.88 = 265,921.88 : x
  2. Step 2: Convert to fraction form
    180,894.38/265,921.88 = 265,921.88/x
  3. Step 3: Cross multiply
    180,894.38x = 265,921.88 × 265,921.88
  4. Step 4: Simplify right side
    180,894.38x = 70,714,443,603.52
  5. Step 5: Solve for x
    x = 70,714,443,603.52/180,894.38
  6. Step 6: Final answer
    x = 390,915.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.