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Finding the Third Proportional to 254,376 and 373,764

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Solution

The third proportional to 254,376 and 373,764 is: 549,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,376 : 373,764 = 373,764 : x
  2. Step 2: Convert to fraction form
    254,376/373,764 = 373,764/x
  3. Step 3: Cross multiply
    254,376x = 373,764 × 373,764
  4. Step 4: Simplify right side
    254,376x = 139,699,527,696
  5. Step 5: Solve for x
    x = 139,699,527,696/254,376
  6. Step 6: Final answer
    x = 549,185.17

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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.