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Finding the Third Proportional to 207,160 and 304,178

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Solution

The third proportional to 207,160 and 304,178 is: 446,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,160 : 304,178 = 304,178 : x
  2. Step 2: Convert to fraction form
    207,160/304,178 = 304,178/x
  3. Step 3: Cross multiply
    207,160x = 304,178 × 304,178
  4. Step 4: Simplify right side
    207,160x = 92,524,255,684
  5. Step 5: Solve for x
    x = 92,524,255,684/207,160
  6. Step 6: Final answer
    x = 446,631.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.