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Finding the Third Proportional to 156,302.16 and 365,468.20

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Solution

The third proportional to 156,302.16 and 365,468.20 is: 854,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,302.16 : 365,468.20 = 365,468.20 : x
  2. Step 2: Convert to fraction form
    156,302.16/365,468.20 = 365,468.20/x
  3. Step 3: Cross multiply
    156,302.16x = 365,468.20 × 365,468.20
  4. Step 4: Simplify right side
    156,302.16x = 133,567,007,495.42
  5. Step 5: Solve for x
    x = 133,567,007,495.42/156,302.16
  6. Step 6: Final answer
    x = 854,543.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.