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Finding the Third Proportional to 156,758 and 342,964

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Solution

The third proportional to 156,758 and 342,964 is: 750,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,758 : 342,964 = 342,964 : x
  2. Step 2: Convert to fraction form
    156,758/342,964 = 342,964/x
  3. Step 3: Cross multiply
    156,758x = 342,964 × 342,964
  4. Step 4: Simplify right side
    156,758x = 117,624,305,296
  5. Step 5: Solve for x
    x = 117,624,305,296/156,758
  6. Step 6: Final answer
    x = 750,356.00

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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.