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Finding the Third Proportional to 214,152 and 313,548

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Solution

The third proportional to 214,152 and 313,548 is: 459,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,152 : 313,548 = 313,548 : x
  2. Step 2: Convert to fraction form
    214,152/313,548 = 313,548/x
  3. Step 3: Cross multiply
    214,152x = 313,548 × 313,548
  4. Step 4: Simplify right side
    214,152x = 98,312,348,304
  5. Step 5: Solve for x
    x = 98,312,348,304/214,152
  6. Step 6: Final answer
    x = 459,077.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.