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Finding the Third Proportional to 156,915 and 342,987.75

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Solution

The third proportional to 156,915 and 342,987.75 is: 749,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,915 : 342,987.75 = 342,987.75 : x
  2. Step 2: Convert to fraction form
    156,915/342,987.75 = 342,987.75/x
  3. Step 3: Cross multiply
    156,915x = 342,987.75 × 342,987.75
  4. Step 4: Simplify right side
    156,915x = 117,640,596,650.06
  5. Step 5: Solve for x
    x = 117,640,596,650.06/156,915
  6. Step 6: Final answer
    x = 749,709.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.