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Finding the Third Proportional to 225,463 and 348,117

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Solution

The third proportional to 225,463 and 348,117 is: 537,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,463 : 348,117 = 348,117 : x
  2. Step 2: Convert to fraction form
    225,463/348,117 = 348,117/x
  3. Step 3: Cross multiply
    225,463x = 348,117 × 348,117
  4. Step 4: Simplify right side
    225,463x = 121,185,445,689
  5. Step 5: Solve for x
    x = 121,185,445,689/225,463
  6. Step 6: Final answer
    x = 537,495.93

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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.