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Finding the Third Proportional to 152,565 and 221,922

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Solution

The third proportional to 152,565 and 221,922 is: 322,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,565 : 221,922 = 221,922 : x
  2. Step 2: Convert to fraction form
    152,565/221,922 = 221,922/x
  3. Step 3: Cross multiply
    152,565x = 221,922 × 221,922
  4. Step 4: Simplify right side
    152,565x = 49,249,374,084
  5. Step 5: Solve for x
    x = 49,249,374,084/152,565
  6. Step 6: Final answer
    x = 322,809.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.