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Finding the Third Proportional to 230,004 and 358,998

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Solution

The third proportional to 230,004 and 358,998 is: 560,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,004 : 358,998 = 358,998 : x
  2. Step 2: Convert to fraction form
    230,004/358,998 = 358,998/x
  3. Step 3: Cross multiply
    230,004x = 358,998 × 358,998
  4. Step 4: Simplify right side
    230,004x = 128,879,564,004
  5. Step 5: Solve for x
    x = 128,879,564,004/230,004
  6. Step 6: Final answer
    x = 560,336.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.