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Finding the Third Proportional to 162,927 and 245,433

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Solution

The third proportional to 162,927 and 245,433 is: 369,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,927 : 245,433 = 245,433 : x
  2. Step 2: Convert to fraction form
    162,927/245,433 = 245,433/x
  3. Step 3: Cross multiply
    162,927x = 245,433 × 245,433
  4. Step 4: Simplify right side
    162,927x = 60,237,357,489
  5. Step 5: Solve for x
    x = 60,237,357,489/162,927
  6. Step 6: Final answer
    x = 369,719.92

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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.