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Finding the Third Proportional to 168,223 and 249,905

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Solution

The third proportional to 168,223 and 249,905 is: 371,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,223 : 249,905 = 249,905 : x
  2. Step 2: Convert to fraction form
    168,223/249,905 = 249,905/x
  3. Step 3: Cross multiply
    168,223x = 249,905 × 249,905
  4. Step 4: Simplify right side
    168,223x = 62,452,509,025
  5. Step 5: Solve for x
    x = 62,452,509,025/168,223
  6. Step 6: Final answer
    x = 371,248.34

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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.