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Finding the Third Proportional to 176,448 and 384,618

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Solution

The third proportional to 176,448 and 384,618 is: 838,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,448 : 384,618 = 384,618 : x
  2. Step 2: Convert to fraction form
    176,448/384,618 = 384,618/x
  3. Step 3: Cross multiply
    176,448x = 384,618 × 384,618
  4. Step 4: Simplify right side
    176,448x = 147,931,005,924
  5. Step 5: Solve for x
    x = 147,931,005,924/176,448
  6. Step 6: Final answer
    x = 838,383.01

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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.