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Finding the Third Proportional to 164,437 and 245,995

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Solution

The third proportional to 164,437 and 245,995 is: 368,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,437 : 245,995 = 245,995 : x
  2. Step 2: Convert to fraction form
    164,437/245,995 = 245,995/x
  3. Step 3: Cross multiply
    164,437x = 245,995 × 245,995
  4. Step 4: Simplify right side
    164,437x = 60,513,540,025
  5. Step 5: Solve for x
    x = 60,513,540,025/164,437
  6. Step 6: Final answer
    x = 368,004.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.