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Finding the Third Proportional to 152,964 and 232,683.75

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Solution

The third proportional to 152,964 and 232,683.75 is: 353,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,964 : 232,683.75 = 232,683.75 : x
  2. Step 2: Convert to fraction form
    152,964/232,683.75 = 232,683.75/x
  3. Step 3: Cross multiply
    152,964x = 232,683.75 × 232,683.75
  4. Step 4: Simplify right side
    152,964x = 54,141,727,514.06
  5. Step 5: Solve for x
    x = 54,141,727,514.06/152,964
  6. Step 6: Final answer
    x = 353,950.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.