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Finding the Third Proportional to 171,630.66 and 358,946.16

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Solution

The third proportional to 171,630.66 and 358,946.16 is: 750,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,630.66 : 358,946.16 = 358,946.16 : x
  2. Step 2: Convert to fraction form
    171,630.66/358,946.16 = 358,946.16/x
  3. Step 3: Cross multiply
    171,630.66x = 358,946.16 × 358,946.16
  4. Step 4: Simplify right side
    171,630.66x = 128,842,343,086.65
  5. Step 5: Solve for x
    x = 128,842,343,086.65/171,630.66
  6. Step 6: Final answer
    x = 750,695.39

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.