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Finding the Third Proportional to 157,621.50 and 216,747

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Solution

The third proportional to 157,621.50 and 216,747 is: 298,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,621.50 : 216,747 = 216,747 : x
  2. Step 2: Convert to fraction form
    157,621.50/216,747 = 216,747/x
  3. Step 3: Cross multiply
    157,621.50x = 216,747 × 216,747
  4. Step 4: Simplify right side
    157,621.50x = 46,979,262,009
  5. Step 5: Solve for x
    x = 46,979,262,009/157,621.50
  6. Step 6: Final answer
    x = 298,051.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.