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Finding the Third Proportional to 249,099 and 384,697.50

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Solution

The third proportional to 249,099 and 384,697.50 is: 594,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,099 : 384,697.50 = 384,697.50 : x
  2. Step 2: Convert to fraction form
    249,099/384,697.50 = 384,697.50/x
  3. Step 3: Cross multiply
    249,099x = 384,697.50 × 384,697.50
  4. Step 4: Simplify right side
    249,099x = 147,992,166,506.25
  5. Step 5: Solve for x
    x = 147,992,166,506.25/249,099
  6. Step 6: Final answer
    x = 594,109.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.