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Finding the Third Proportional to 163,790 and 357,226

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Solution

The third proportional to 163,790 and 357,226 is: 779,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,790 : 357,226 = 357,226 : x
  2. Step 2: Convert to fraction form
    163,790/357,226 = 357,226/x
  3. Step 3: Cross multiply
    163,790x = 357,226 × 357,226
  4. Step 4: Simplify right side
    163,790x = 127,610,415,076
  5. Step 5: Solve for x
    x = 127,610,415,076/163,790
  6. Step 6: Final answer
    x = 779,109.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.