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Finding the Third Proportional to 152,922 and 211,310

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Solution

The third proportional to 152,922 and 211,310 is: 291,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,922 : 211,310 = 211,310 : x
  2. Step 2: Convert to fraction form
    152,922/211,310 = 211,310/x
  3. Step 3: Cross multiply
    152,922x = 211,310 × 211,310
  4. Step 4: Simplify right side
    152,922x = 44,651,916,100
  5. Step 5: Solve for x
    x = 44,651,916,100/152,922
  6. Step 6: Final answer
    x = 291,991.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.