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Finding the Third Proportional to 117,284 and 255,618

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Solution

The third proportional to 117,284 and 255,618 is: 557,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284 : 255,618 = 255,618 : x
  2. Step 2: Convert to fraction form
    117,284/255,618 = 255,618/x
  3. Step 3: Cross multiply
    117,284x = 255,618 × 255,618
  4. Step 4: Simplify right side
    117,284x = 65,340,561,924
  5. Step 5: Solve for x
    x = 65,340,561,924/117,284
  6. Step 6: Final answer
    x = 557,114.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.