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Finding the Third Proportional to 226,152 and 307,133

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Solution

The third proportional to 226,152 and 307,133 is: 417,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,152 : 307,133 = 307,133 : x
  2. Step 2: Convert to fraction form
    226,152/307,133 = 307,133/x
  3. Step 3: Cross multiply
    226,152x = 307,133 × 307,133
  4. Step 4: Simplify right side
    226,152x = 94,330,679,689
  5. Step 5: Solve for x
    x = 94,330,679,689/226,152
  6. Step 6: Final answer
    x = 417,111.85

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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.