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Finding the Third Proportional to 178,303.08 and 384,693.89

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Solution

The third proportional to 178,303.08 and 384,693.89 is: 829,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,303.08 : 384,693.89 = 384,693.89 : x
  2. Step 2: Convert to fraction form
    178,303.08/384,693.89 = 384,693.89/x
  3. Step 3: Cross multiply
    178,303.08x = 384,693.89 × 384,693.89
  4. Step 4: Simplify right side
    178,303.08x = 147,989,389,484.20
  5. Step 5: Solve for x
    x = 147,989,389,484.20/178,303.08
  6. Step 6: Final answer
    x = 829,987.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.