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Finding the Third Proportional to 156,623.63 and 235,629

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Solution

The third proportional to 156,623.63 and 235,629 is: 354,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,623.63 : 235,629 = 235,629 : x
  2. Step 2: Convert to fraction form
    156,623.63/235,629 = 235,629/x
  3. Step 3: Cross multiply
    156,623.63x = 235,629 × 235,629
  4. Step 4: Simplify right side
    156,623.63x = 55,521,025,641
  5. Step 5: Solve for x
    x = 55,521,025,641/156,623.63
  6. Step 6: Final answer
    x = 354,486.91

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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.