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Finding the Third Proportional to 163,894 and 354,032

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Solution

The third proportional to 163,894 and 354,032 is: 764,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,894 : 354,032 = 354,032 : x
  2. Step 2: Convert to fraction form
    163,894/354,032 = 354,032/x
  3. Step 3: Cross multiply
    163,894x = 354,032 × 354,032
  4. Step 4: Simplify right side
    163,894x = 125,338,657,024
  5. Step 5: Solve for x
    x = 125,338,657,024/163,894
  6. Step 6: Final answer
    x = 764,754.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.