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Finding the Third Proportional to 164,228 and 353,784

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Solution

The third proportional to 164,228 and 353,784 is: 762,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,228 : 353,784 = 353,784 : x
  2. Step 2: Convert to fraction form
    164,228/353,784 = 353,784/x
  3. Step 3: Cross multiply
    164,228x = 353,784 × 353,784
  4. Step 4: Simplify right side
    164,228x = 125,163,118,656
  5. Step 5: Solve for x
    x = 125,163,118,656/164,228
  6. Step 6: Final answer
    x = 762,130.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.