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Finding the Third Proportional to 164,636 and 249,250

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Solution

The third proportional to 164,636 and 249,250 is: 377,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,636 : 249,250 = 249,250 : x
  2. Step 2: Convert to fraction form
    164,636/249,250 = 249,250/x
  3. Step 3: Cross multiply
    164,636x = 249,250 × 249,250
  4. Step 4: Simplify right side
    164,636x = 62,125,562,500
  5. Step 5: Solve for x
    x = 62,125,562,500/164,636
  6. Step 6: Final answer
    x = 377,351.02

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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.