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Finding the Third Proportional to 254,394 and 373,815

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Solution

The third proportional to 254,394 and 373,815 is: 549,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,394 : 373,815 = 373,815 : x
  2. Step 2: Convert to fraction form
    254,394/373,815 = 373,815/x
  3. Step 3: Cross multiply
    254,394x = 373,815 × 373,815
  4. Step 4: Simplify right side
    254,394x = 139,737,654,225
  5. Step 5: Solve for x
    x = 139,737,654,225/254,394
  6. Step 6: Final answer
    x = 549,296.19

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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.