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Finding the Third Proportional to 163,377 and 354,618

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Solution

The third proportional to 163,377 and 354,618 is: 769,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,377 : 354,618 = 354,618 : x
  2. Step 2: Convert to fraction form
    163,377/354,618 = 354,618/x
  3. Step 3: Cross multiply
    163,377x = 354,618 × 354,618
  4. Step 4: Simplify right side
    163,377x = 125,753,925,924
  5. Step 5: Solve for x
    x = 125,753,925,924/163,377
  6. Step 6: Final answer
    x = 769,716.21

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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.