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Finding the Third Proportional to 162,433 and 249,992

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Solution

The third proportional to 162,433 and 249,992 is: 384,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,433 : 249,992 = 249,992 : x
  2. Step 2: Convert to fraction form
    162,433/249,992 = 249,992/x
  3. Step 3: Cross multiply
    162,433x = 249,992 × 249,992
  4. Step 4: Simplify right side
    162,433x = 62,496,000,064
  5. Step 5: Solve for x
    x = 62,496,000,064/162,433
  6. Step 6: Final answer
    x = 384,749.40

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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.