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Finding the Third Proportional to 141,154 and 302,774

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Solution

The third proportional to 141,154 and 302,774 is: 649,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,154 : 302,774 = 302,774 : x
  2. Step 2: Convert to fraction form
    141,154/302,774 = 302,774/x
  3. Step 3: Cross multiply
    141,154x = 302,774 × 302,774
  4. Step 4: Simplify right side
    141,154x = 91,672,095,076
  5. Step 5: Solve for x
    x = 91,672,095,076/141,154
  6. Step 6: Final answer
    x = 649,447.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.