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Finding the Third Proportional to 75,308 and 163,732

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Solution

The third proportional to 75,308 and 163,732 is: 355,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308 : 163,732 = 163,732 : x
  2. Step 2: Convert to fraction form
    75,308/163,732 = 163,732/x
  3. Step 3: Cross multiply
    75,308x = 163,732 × 163,732
  4. Step 4: Simplify right side
    75,308x = 26,808,167,824
  5. Step 5: Solve for x
    x = 26,808,167,824/75,308
  6. Step 6: Final answer
    x = 355,980.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.