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Finding the Third Proportional to 181,634 and 249,334

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Solution

The third proportional to 181,634 and 249,334 is: 342,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,634 : 249,334 = 249,334 : x
  2. Step 2: Convert to fraction form
    181,634/249,334 = 249,334/x
  3. Step 3: Cross multiply
    181,634x = 249,334 × 249,334
  4. Step 4: Simplify right side
    181,634x = 62,167,443,556
  5. Step 5: Solve for x
    x = 62,167,443,556/181,634
  6. Step 6: Final answer
    x = 342,267.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.