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Finding the Third Proportional to 114,622 and 249,170

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Solution

The third proportional to 114,622 and 249,170 is: 541,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,622 : 249,170 = 249,170 : x
  2. Step 2: Convert to fraction form
    114,622/249,170 = 249,170/x
  3. Step 3: Cross multiply
    114,622x = 249,170 × 249,170
  4. Step 4: Simplify right side
    114,622x = 62,085,688,900
  5. Step 5: Solve for x
    x = 62,085,688,900/114,622
  6. Step 6: Final answer
    x = 541,655.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.