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Finding the Third Proportional to 157,748 and 221,348

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Solution

The third proportional to 157,748 and 221,348 is: 310,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,748 : 221,348 = 221,348 : x
  2. Step 2: Convert to fraction form
    157,748/221,348 = 221,348/x
  3. Step 3: Cross multiply
    157,748x = 221,348 × 221,348
  4. Step 4: Simplify right side
    157,748x = 48,994,937,104
  5. Step 5: Solve for x
    x = 48,994,937,104/157,748
  6. Step 6: Final answer
    x = 310,589.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.