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Finding the Third Proportional to 249,064 and 376,184

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Solution

The third proportional to 249,064 and 376,184 is: 568,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,064 : 376,184 = 376,184 : x
  2. Step 2: Convert to fraction form
    249,064/376,184 = 376,184/x
  3. Step 3: Cross multiply
    249,064x = 376,184 × 376,184
  4. Step 4: Simplify right side
    249,064x = 141,514,401,856
  5. Step 5: Solve for x
    x = 141,514,401,856/249,064
  6. Step 6: Final answer
    x = 568,184.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.