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Finding the Third Proportional to 117,944 and 249,202

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Solution

The third proportional to 117,944 and 249,202 is: 526,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,944 : 249,202 = 249,202 : x
  2. Step 2: Convert to fraction form
    117,944/249,202 = 249,202/x
  3. Step 3: Cross multiply
    117,944x = 249,202 × 249,202
  4. Step 4: Simplify right side
    117,944x = 62,101,636,804
  5. Step 5: Solve for x
    x = 62,101,636,804/117,944
  6. Step 6: Final answer
    x = 526,534.94

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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.