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Finding the Third Proportional to 225,461 and 348,114

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Solution

The third proportional to 225,461 and 348,114 is: 537,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,461 : 348,114 = 348,114 : x
  2. Step 2: Convert to fraction form
    225,461/348,114 = 348,114/x
  3. Step 3: Cross multiply
    225,461x = 348,114 × 348,114
  4. Step 4: Simplify right side
    225,461x = 121,183,356,996
  5. Step 5: Solve for x
    x = 121,183,356,996/225,461
  6. Step 6: Final answer
    x = 537,491.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.