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Finding the Third Proportional to 124,934 and 264,358

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Solution

The third proportional to 124,934 and 264,358 is: 559,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,934 : 264,358 = 264,358 : x
  2. Step 2: Convert to fraction form
    124,934/264,358 = 264,358/x
  3. Step 3: Cross multiply
    124,934x = 264,358 × 264,358
  4. Step 4: Simplify right side
    124,934x = 69,885,152,164
  5. Step 5: Solve for x
    x = 69,885,152,164/124,934
  6. Step 6: Final answer
    x = 559,376.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.