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Finding the Third Proportional to 163,413 and 358,902

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Solution

The third proportional to 163,413 and 358,902 is: 788,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,413 : 358,902 = 358,902 : x
  2. Step 2: Convert to fraction form
    163,413/358,902 = 358,902/x
  3. Step 3: Cross multiply
    163,413x = 358,902 × 358,902
  4. Step 4: Simplify right side
    163,413x = 128,810,645,604
  5. Step 5: Solve for x
    x = 128,810,645,604/163,413
  6. Step 6: Final answer
    x = 788,252.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.