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Finding the Third Proportional to 181,637 and 249,338

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Solution

The third proportional to 181,637 and 249,338 is: 342,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,637 : 249,338 = 249,338 : x
  2. Step 2: Convert to fraction form
    181,637/249,338 = 249,338/x
  3. Step 3: Cross multiply
    181,637x = 249,338 × 249,338
  4. Step 4: Simplify right side
    181,637x = 62,169,438,244
  5. Step 5: Solve for x
    x = 62,169,438,244/181,637
  6. Step 6: Final answer
    x = 342,272.99

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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.