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Finding the Third Proportional to 214,426 and 314,475

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Solution

The third proportional to 214,426 and 314,475 is: 461,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,426 : 314,475 = 314,475 : x
  2. Step 2: Convert to fraction form
    214,426/314,475 = 314,475/x
  3. Step 3: Cross multiply
    214,426x = 314,475 × 314,475
  4. Step 4: Simplify right side
    214,426x = 98,894,525,625
  5. Step 5: Solve for x
    x = 98,894,525,625/214,426
  6. Step 6: Final answer
    x = 461,205.85

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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.