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Finding the Third Proportional to 182,788 and 249,018

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Solution

The third proportional to 182,788 and 249,018 is: 339,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,788 : 249,018 = 249,018 : x
  2. Step 2: Convert to fraction form
    182,788/249,018 = 249,018/x
  3. Step 3: Cross multiply
    182,788x = 249,018 × 249,018
  4. Step 4: Simplify right side
    182,788x = 62,009,964,324
  5. Step 5: Solve for x
    x = 62,009,964,324/182,788
  6. Step 6: Final answer
    x = 339,245.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.