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Finding the Third Proportional to 106,832 and 249,583

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Solution

The third proportional to 106,832 and 249,583 is: 583,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,832 : 249,583 = 249,583 : x
  2. Step 2: Convert to fraction form
    106,832/249,583 = 249,583/x
  3. Step 3: Cross multiply
    106,832x = 249,583 × 249,583
  4. Step 4: Simplify right side
    106,832x = 62,291,673,889
  5. Step 5: Solve for x
    x = 62,291,673,889/106,832
  6. Step 6: Final answer
    x = 583,080.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.