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Finding the Third Proportional to 116,903 and 249,763

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Solution

The third proportional to 116,903 and 249,763 is: 533,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,903 : 249,763 = 249,763 : x
  2. Step 2: Convert to fraction form
    116,903/249,763 = 249,763/x
  3. Step 3: Cross multiply
    116,903x = 249,763 × 249,763
  4. Step 4: Simplify right side
    116,903x = 62,381,556,169
  5. Step 5: Solve for x
    x = 62,381,556,169/116,903
  6. Step 6: Final answer
    x = 533,618.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.