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Finding the Third Proportional to 163,810 and 357,928

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Solution

The third proportional to 163,810 and 357,928 is: 782,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,810 : 357,928 = 357,928 : x
  2. Step 2: Convert to fraction form
    163,810/357,928 = 357,928/x
  3. Step 3: Cross multiply
    163,810x = 357,928 × 357,928
  4. Step 4: Simplify right side
    163,810x = 128,112,453,184
  5. Step 5: Solve for x
    x = 128,112,453,184/163,810
  6. Step 6: Final answer
    x = 782,079.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.