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Finding the Third Proportional to 225,810 and 307,575

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Solution

The third proportional to 225,810 and 307,575 is: 418,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810 : 307,575 = 307,575 : x
  2. Step 2: Convert to fraction form
    225,810/307,575 = 307,575/x
  3. Step 3: Cross multiply
    225,810x = 307,575 × 307,575
  4. Step 4: Simplify right side
    225,810x = 94,602,380,625
  5. Step 5: Solve for x
    x = 94,602,380,625/225,810
  6. Step 6: Final answer
    x = 418,946.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.