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Finding the Third Proportional to 118,356 and 183,618

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Solution

The third proportional to 118,356 and 183,618 is: 284,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,356 : 183,618 = 183,618 : x
  2. Step 2: Convert to fraction form
    118,356/183,618 = 183,618/x
  3. Step 3: Cross multiply
    118,356x = 183,618 × 183,618
  4. Step 4: Simplify right side
    118,356x = 33,715,569,924
  5. Step 5: Solve for x
    x = 33,715,569,924/118,356
  6. Step 6: Final answer
    x = 284,865.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.