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Finding the Third Proportional to 225,402 and 348,831

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Solution

The third proportional to 225,402 and 348,831 is: 539,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,402 : 348,831 = 348,831 : x
  2. Step 2: Convert to fraction form
    225,402/348,831 = 348,831/x
  3. Step 3: Cross multiply
    225,402x = 348,831 × 348,831
  4. Step 4: Simplify right side
    225,402x = 121,683,066,561
  5. Step 5: Solve for x
    x = 121,683,066,561/225,402
  6. Step 6: Final answer
    x = 539,849.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.