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Finding the Third Proportional to 163,758.38 and 358,065.56

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Solution

The third proportional to 163,758.38 and 358,065.56 is: 782,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,758.38 : 358,065.56 = 358,065.56 : x
  2. Step 2: Convert to fraction form
    163,758.38/358,065.56 = 358,065.56/x
  3. Step 3: Cross multiply
    163,758.38x = 358,065.56 × 358,065.56
  4. Step 4: Simplify right side
    163,758.38x = 128,210,947,048.44
  5. Step 5: Solve for x
    x = 128,210,947,048.44/163,758.38
  6. Step 6: Final answer
    x = 782,927.57

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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.