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Finding the Third Proportional to 165,933 and 390,043.50

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Solution

The third proportional to 165,933 and 390,043.50 is: 916,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,933 : 390,043.50 = 390,043.50 : x
  2. Step 2: Convert to fraction form
    165,933/390,043.50 = 390,043.50/x
  3. Step 3: Cross multiply
    165,933x = 390,043.50 × 390,043.50
  4. Step 4: Simplify right side
    165,933x = 152,133,931,892.25
  5. Step 5: Solve for x
    x = 152,133,931,892.25/165,933
  6. Step 6: Final answer
    x = 916,839.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.