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Finding the Third Proportional to 168,169 and 249,859

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Solution

The third proportional to 168,169 and 249,859 is: 371,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,169 : 249,859 = 249,859 : x
  2. Step 2: Convert to fraction form
    168,169/249,859 = 249,859/x
  3. Step 3: Cross multiply
    168,169x = 249,859 × 249,859
  4. Step 4: Simplify right side
    168,169x = 62,429,519,881
  5. Step 5: Solve for x
    x = 62,429,519,881/168,169
  6. Step 6: Final answer
    x = 371,230.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.