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Finding the Third Proportional to 163,958.63 and 358,293.38

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Solution

The third proportional to 163,958.63 and 358,293.38 is: 782,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,958.63 : 358,293.38 = 358,293.38 : x
  2. Step 2: Convert to fraction form
    163,958.63/358,293.38 = 358,293.38/x
  3. Step 3: Cross multiply
    163,958.63x = 358,293.38 × 358,293.38
  4. Step 4: Simplify right side
    163,958.63x = 128,374,142,568.89
  5. Step 5: Solve for x
    x = 128,374,142,568.89/163,958.63
  6. Step 6: Final answer
    x = 782,966.69

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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.