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Finding the Third Proportional to 152,711 and 233,015

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Solution

The third proportional to 152,711 and 233,015 is: 355,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,711 : 233,015 = 233,015 : x
  2. Step 2: Convert to fraction form
    152,711/233,015 = 233,015/x
  3. Step 3: Cross multiply
    152,711x = 233,015 × 233,015
  4. Step 4: Simplify right side
    152,711x = 54,295,990,225
  5. Step 5: Solve for x
    x = 54,295,990,225/152,711
  6. Step 6: Final answer
    x = 355,547.34

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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.