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Finding the Third Proportional to 173,002 and 358,964

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Solution

The third proportional to 173,002 and 358,964 is: 744,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,002 : 358,964 = 358,964 : x
  2. Step 2: Convert to fraction form
    173,002/358,964 = 358,964/x
  3. Step 3: Cross multiply
    173,002x = 358,964 × 358,964
  4. Step 4: Simplify right side
    173,002x = 128,855,153,296
  5. Step 5: Solve for x
    x = 128,855,153,296/173,002
  6. Step 6: Final answer
    x = 744,818.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.