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Finding the Third Proportional to 117,952 and 249,216

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Solution

The third proportional to 117,952 and 249,216 is: 526,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,952 : 249,216 = 249,216 : x
  2. Step 2: Convert to fraction form
    117,952/249,216 = 249,216/x
  3. Step 3: Cross multiply
    117,952x = 249,216 × 249,216
  4. Step 4: Simplify right side
    117,952x = 62,108,614,656
  5. Step 5: Solve for x
    x = 62,108,614,656/117,952
  6. Step 6: Final answer
    x = 526,558.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.