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Finding the Third Proportional to 163,551 and 358,327.50

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Solution

The third proportional to 163,551 and 358,327.50 is: 785,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,551 : 358,327.50 = 358,327.50 : x
  2. Step 2: Convert to fraction form
    163,551/358,327.50 = 358,327.50/x
  3. Step 3: Cross multiply
    163,551x = 358,327.50 × 358,327.50
  4. Step 4: Simplify right side
    163,551x = 128,398,597,256.25
  5. Step 5: Solve for x
    x = 128,398,597,256.25/163,551
  6. Step 6: Final answer
    x = 785,067.64

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