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Finding the Third Proportional to 164,017.50 and 358,671

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Solution

The third proportional to 164,017.50 and 358,671 is: 784,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,017.50 : 358,671 = 358,671 : x
  2. Step 2: Convert to fraction form
    164,017.50/358,671 = 358,671/x
  3. Step 3: Cross multiply
    164,017.50x = 358,671 × 358,671
  4. Step 4: Simplify right side
    164,017.50x = 128,644,886,241
  5. Step 5: Solve for x
    x = 128,644,886,241/164,017.50
  6. Step 6: Final answer
    x = 784,336.34

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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.