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Finding the Third Proportional to 152,707 and 233,009.25

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Solution

The third proportional to 152,707 and 233,009.25 is: 355,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,707 : 233,009.25 = 233,009.25 : x
  2. Step 2: Convert to fraction form
    152,707/233,009.25 = 233,009.25/x
  3. Step 3: Cross multiply
    152,707x = 233,009.25 × 233,009.25
  4. Step 4: Simplify right side
    152,707x = 54,293,310,585.56
  5. Step 5: Solve for x
    x = 54,293,310,585.56/152,707
  6. Step 6: Final answer
    x = 355,539.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.