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Finding the Third Proportional to 229,047 and 346,081

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Solution

The third proportional to 229,047 and 346,081 is: 522,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,047 : 346,081 = 346,081 : x
  2. Step 2: Convert to fraction form
    229,047/346,081 = 346,081/x
  3. Step 3: Cross multiply
    229,047x = 346,081 × 346,081
  4. Step 4: Simplify right side
    229,047x = 119,772,058,561
  5. Step 5: Solve for x
    x = 119,772,058,561/229,047
  6. Step 6: Final answer
    x = 522,914.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.