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Finding the Third Proportional to 107,622 and 249,615

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Solution

The third proportional to 107,622 and 249,615 is: 578,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,622 : 249,615 = 249,615 : x
  2. Step 2: Convert to fraction form
    107,622/249,615 = 249,615/x
  3. Step 3: Cross multiply
    107,622x = 249,615 × 249,615
  4. Step 4: Simplify right side
    107,622x = 62,307,648,225
  5. Step 5: Solve for x
    x = 62,307,648,225/107,622
  6. Step 6: Final answer
    x = 578,948.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.