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Finding the Third Proportional to 164,584 and 249,184

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Solution

The third proportional to 164,584 and 249,184 is: 377,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,584 : 249,184 = 249,184 : x
  2. Step 2: Convert to fraction form
    164,584/249,184 = 249,184/x
  3. Step 3: Cross multiply
    164,584x = 249,184 × 249,184
  4. Step 4: Simplify right side
    164,584x = 62,092,665,856
  5. Step 5: Solve for x
    x = 62,092,665,856/164,584
  6. Step 6: Final answer
    x = 377,270.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.