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Finding the Third Proportional to 163,784 and 356,413

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Solution

The third proportional to 163,784 and 356,413 is: 775,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,784 : 356,413 = 356,413 : x
  2. Step 2: Convert to fraction form
    163,784/356,413 = 356,413/x
  3. Step 3: Cross multiply
    163,784x = 356,413 × 356,413
  4. Step 4: Simplify right side
    163,784x = 127,030,226,569
  5. Step 5: Solve for x
    x = 127,030,226,569/163,784
  6. Step 6: Final answer
    x = 775,596.07

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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.