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Finding the Third Proportional to 174,088 and 234,888

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Solution

The third proportional to 174,088 and 234,888 is: 316,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,088 : 234,888 = 234,888 : x
  2. Step 2: Convert to fraction form
    174,088/234,888 = 234,888/x
  3. Step 3: Cross multiply
    174,088x = 234,888 × 234,888
  4. Step 4: Simplify right side
    174,088x = 55,172,372,544
  5. Step 5: Solve for x
    x = 55,172,372,544/174,088
  6. Step 6: Final answer
    x = 316,922.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.