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Finding the Third Proportional to 208,044 and 308,178

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Solution

The third proportional to 208,044 and 308,178 is: 456,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,044 : 308,178 = 308,178 : x
  2. Step 2: Convert to fraction form
    208,044/308,178 = 308,178/x
  3. Step 3: Cross multiply
    208,044x = 308,178 × 308,178
  4. Step 4: Simplify right side
    208,044x = 94,973,679,684
  5. Step 5: Solve for x
    x = 94,973,679,684/208,044
  6. Step 6: Final answer
    x = 456,507.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.