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Finding the Third Proportional to 163,674 and 358,578

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Solution

The third proportional to 163,674 and 358,578 is: 785,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674 : 358,578 = 358,578 : x
  2. Step 2: Convert to fraction form
    163,674/358,578 = 358,578/x
  3. Step 3: Cross multiply
    163,674x = 358,578 × 358,578
  4. Step 4: Simplify right side
    163,674x = 128,578,182,084
  5. Step 5: Solve for x
    x = 128,578,182,084/163,674
  6. Step 6: Final answer
    x = 785,574.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.