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Finding the Third Proportional to 225,900 and 301,159.50

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Solution

The third proportional to 225,900 and 301,159.50 is: 401,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,900 : 301,159.50 = 301,159.50 : x
  2. Step 2: Convert to fraction form
    225,900/301,159.50 = 301,159.50/x
  3. Step 3: Cross multiply
    225,900x = 301,159.50 × 301,159.50
  4. Step 4: Simplify right side
    225,900x = 90,697,044,440.25
  5. Step 5: Solve for x
    x = 90,697,044,440.25/225,900
  6. Step 6: Final answer
    x = 401,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.