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Finding the Third Proportional to 162,031.50 and 340,506

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Solution

The third proportional to 162,031.50 and 340,506 is: 715,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,031.50 : 340,506 = 340,506 : x
  2. Step 2: Convert to fraction form
    162,031.50/340,506 = 340,506/x
  3. Step 3: Cross multiply
    162,031.50x = 340,506 × 340,506
  4. Step 4: Simplify right side
    162,031.50x = 115,944,336,036
  5. Step 5: Solve for x
    x = 115,944,336,036/162,031.50
  6. Step 6: Final answer
    x = 715,566.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.