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Finding the Third Proportional to 164,646 and 249,273

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Solution

The third proportional to 164,646 and 249,273 is: 377,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,646 : 249,273 = 249,273 : x
  2. Step 2: Convert to fraction form
    164,646/249,273 = 249,273/x
  3. Step 3: Cross multiply
    164,646x = 249,273 × 249,273
  4. Step 4: Simplify right side
    164,646x = 62,137,028,529
  5. Step 5: Solve for x
    x = 62,137,028,529/164,646
  6. Step 6: Final answer
    x = 377,397.74

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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.