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Finding the Third Proportional to 214,160 and 313,560

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Solution

The third proportional to 214,160 and 313,560 is: 459,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,160 : 313,560 = 313,560 : x
  2. Step 2: Convert to fraction form
    214,160/313,560 = 313,560/x
  3. Step 3: Cross multiply
    214,160x = 313,560 × 313,560
  4. Step 4: Simplify right side
    214,160x = 98,319,873,600
  5. Step 5: Solve for x
    x = 98,319,873,600/214,160
  6. Step 6: Final answer
    x = 459,095.41

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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.