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Finding the Third Proportional to 156,033 and 235,153.13

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Solution

The third proportional to 156,033 and 235,153.13 is: 354,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,033 : 235,153.13 = 235,153.13 : x
  2. Step 2: Convert to fraction form
    156,033/235,153.13 = 235,153.13/x
  3. Step 3: Cross multiply
    156,033x = 235,153.13 × 235,153.13
  4. Step 4: Simplify right side
    156,033x = 55,296,992,197.27
  5. Step 5: Solve for x
    x = 55,296,992,197.27/156,033
  6. Step 6: Final answer
    x = 354,392.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.