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Finding the Third Proportional to 117,341 and 249,226

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Solution

The third proportional to 117,341 and 249,226 is: 529,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,341 : 249,226 = 249,226 : x
  2. Step 2: Convert to fraction form
    117,341/249,226 = 249,226/x
  3. Step 3: Cross multiply
    117,341x = 249,226 × 249,226
  4. Step 4: Simplify right side
    117,341x = 62,113,599,076
  5. Step 5: Solve for x
    x = 62,113,599,076/117,341
  6. Step 6: Final answer
    x = 529,342.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.