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Finding the Third Proportional to 163,083 and 356,070

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Solution

The third proportional to 163,083 and 356,070 is: 777,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,083 : 356,070 = 356,070 : x
  2. Step 2: Convert to fraction form
    163,083/356,070 = 356,070/x
  3. Step 3: Cross multiply
    163,083x = 356,070 × 356,070
  4. Step 4: Simplify right side
    163,083x = 126,785,844,900
  5. Step 5: Solve for x
    x = 126,785,844,900/163,083
  6. Step 6: Final answer
    x = 777,431.40

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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.