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Finding the Third Proportional to 156,768 and 342,984

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Solution

The third proportional to 156,768 and 342,984 is: 750,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,768 : 342,984 = 342,984 : x
  2. Step 2: Convert to fraction form
    156,768/342,984 = 342,984/x
  3. Step 3: Cross multiply
    156,768x = 342,984 × 342,984
  4. Step 4: Simplify right side
    156,768x = 117,638,024,256
  5. Step 5: Solve for x
    x = 117,638,024,256/156,768
  6. Step 6: Final answer
    x = 750,395.64

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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.