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Finding the Third Proportional to 160,316 and 250,178

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Solution

The third proportional to 160,316 and 250,178 is: 390,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,316 : 250,178 = 250,178 : x
  2. Step 2: Convert to fraction form
    160,316/250,178 = 250,178/x
  3. Step 3: Cross multiply
    160,316x = 250,178 × 250,178
  4. Step 4: Simplify right side
    160,316x = 62,589,031,684
  5. Step 5: Solve for x
    x = 62,589,031,684/160,316
  6. Step 6: Final answer
    x = 390,410.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.