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Finding the Third Proportional to 163,618 and 353,012

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Solution

The third proportional to 163,618 and 353,012 is: 761,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,618 : 353,012 = 353,012 : x
  2. Step 2: Convert to fraction form
    163,618/353,012 = 353,012/x
  3. Step 3: Cross multiply
    163,618x = 353,012 × 353,012
  4. Step 4: Simplify right side
    163,618x = 124,617,472,144
  5. Step 5: Solve for x
    x = 124,617,472,144/163,618
  6. Step 6: Final answer
    x = 761,636.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.