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Finding the Third Proportional to 162,440.02 and 252,495.77

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Solution

The third proportional to 162,440.02 and 252,495.77 is: 392,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,440.02 : 252,495.77 = 252,495.77 : x
  2. Step 2: Convert to fraction form
    162,440.02/252,495.77 = 252,495.77/x
  3. Step 3: Cross multiply
    162,440.02x = 252,495.77 × 252,495.77
  4. Step 4: Simplify right side
    162,440.02x = 63,754,115,603.80
  5. Step 5: Solve for x
    x = 63,754,115,603.80/162,440.02
  6. Step 6: Final answer
    x = 392,477.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.