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Finding the Third Proportional to 168,064.50 and 364,384.50

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Solution

The third proportional to 168,064.50 and 364,384.50 is: 790,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,064.50 : 364,384.50 = 364,384.50 : x
  2. Step 2: Convert to fraction form
    168,064.50/364,384.50 = 364,384.50/x
  3. Step 3: Cross multiply
    168,064.50x = 364,384.50 × 364,384.50
  4. Step 4: Simplify right side
    168,064.50x = 132,776,063,840.25
  5. Step 5: Solve for x
    x = 132,776,063,840.25/168,064.50
  6. Step 6: Final answer
    x = 790,030.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.