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Finding the Third Proportional to 161,598 and 216,031.50

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Solution

The third proportional to 161,598 and 216,031.50 is: 288,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,598 : 216,031.50 = 216,031.50 : x
  2. Step 2: Convert to fraction form
    161,598/216,031.50 = 216,031.50/x
  3. Step 3: Cross multiply
    161,598x = 216,031.50 × 216,031.50
  4. Step 4: Simplify right side
    161,598x = 46,669,608,992.25
  5. Step 5: Solve for x
    x = 46,669,608,992.25/161,598
  6. Step 6: Final answer
    x = 288,800.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.