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Finding the Third Proportional to 168,564.16 and 358,582.57

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Solution

The third proportional to 168,564.16 and 358,582.57 is: 762,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,564.16 : 358,582.57 = 358,582.57 : x
  2. Step 2: Convert to fraction form
    168,564.16/358,582.57 = 358,582.57/x
  3. Step 3: Cross multiply
    168,564.16x = 358,582.57 × 358,582.57
  4. Step 4: Simplify right side
    168,564.16x = 128,581,459,731.92
  5. Step 5: Solve for x
    x = 128,581,459,731.92/168,564.16
  6. Step 6: Final answer
    x = 762,804.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.