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Finding the Third Proportional to 161,462 and 249,006

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Solution

The third proportional to 161,462 and 249,006 is: 384,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,462 : 249,006 = 249,006 : x
  2. Step 2: Convert to fraction form
    161,462/249,006 = 249,006/x
  3. Step 3: Cross multiply
    161,462x = 249,006 × 249,006
  4. Step 4: Simplify right side
    161,462x = 62,003,988,036
  5. Step 5: Solve for x
    x = 62,003,988,036/161,462
  6. Step 6: Final answer
    x = 384,015.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.