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Finding the Third Proportional to 249,686 and 365,184

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Solution

The third proportional to 249,686 and 365,184 is: 534,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,686 : 365,184 = 365,184 : x
  2. Step 2: Convert to fraction form
    249,686/365,184 = 365,184/x
  3. Step 3: Cross multiply
    249,686x = 365,184 × 365,184
  4. Step 4: Simplify right side
    249,686x = 133,359,353,856
  5. Step 5: Solve for x
    x = 133,359,353,856/249,686
  6. Step 6: Final answer
    x = 534,108.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.