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Finding the Third Proportional to 164,622 and 249,228

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Solution

The third proportional to 164,622 and 249,228 is: 377,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,622 : 249,228 = 249,228 : x
  2. Step 2: Convert to fraction form
    164,622/249,228 = 249,228/x
  3. Step 3: Cross multiply
    164,622x = 249,228 × 249,228
  4. Step 4: Simplify right side
    164,622x = 62,114,595,984
  5. Step 5: Solve for x
    x = 62,114,595,984/164,622
  6. Step 6: Final answer
    x = 377,316.49

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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.