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Finding the Third Proportional to 253,953 and 373,518

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Solution

The third proportional to 253,953 and 373,518 is: 549,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,953 : 373,518 = 373,518 : x
  2. Step 2: Convert to fraction form
    253,953/373,518 = 373,518/x
  3. Step 3: Cross multiply
    253,953x = 373,518 × 373,518
  4. Step 4: Simplify right side
    253,953x = 139,515,696,324
  5. Step 5: Solve for x
    x = 139,515,696,324/253,953
  6. Step 6: Final answer
    x = 549,376.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.