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Finding the Third Proportional to 117,336 and 249,216

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Solution

The third proportional to 117,336 and 249,216 is: 529,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,336 : 249,216 = 249,216 : x
  2. Step 2: Convert to fraction form
    117,336/249,216 = 249,216/x
  3. Step 3: Cross multiply
    117,336x = 249,216 × 249,216
  4. Step 4: Simplify right side
    117,336x = 62,108,614,656
  5. Step 5: Solve for x
    x = 62,108,614,656/117,336
  6. Step 6: Final answer
    x = 529,322.75

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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.