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Finding the Third Proportional to 163,068 and 353,276

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Solution

The third proportional to 163,068 and 353,276 is: 765,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,068 : 353,276 = 353,276 : x
  2. Step 2: Convert to fraction form
    163,068/353,276 = 353,276/x
  3. Step 3: Cross multiply
    163,068x = 353,276 × 353,276
  4. Step 4: Simplify right side
    163,068x = 124,803,932,176
  5. Step 5: Solve for x
    x = 124,803,932,176/163,068
  6. Step 6: Final answer
    x = 765,349.01

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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.