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Finding the Third Proportional to 173,452 and 253,590

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Solution

The third proportional to 173,452 and 253,590 is: 370,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,452 : 253,590 = 253,590 : x
  2. Step 2: Convert to fraction form
    173,452/253,590 = 253,590/x
  3. Step 3: Cross multiply
    173,452x = 253,590 × 253,590
  4. Step 4: Simplify right side
    173,452x = 64,307,888,100
  5. Step 5: Solve for x
    x = 64,307,888,100/173,452
  6. Step 6: Final answer
    x = 370,753.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.