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Finding the Third Proportional to 249,801 and 368,086.50

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Solution

The third proportional to 249,801 and 368,086.50 is: 542,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,801 : 368,086.50 = 368,086.50 : x
  2. Step 2: Convert to fraction form
    249,801/368,086.50 = 368,086.50/x
  3. Step 3: Cross multiply
    249,801x = 368,086.50 × 368,086.50
  4. Step 4: Simplify right side
    249,801x = 135,487,671,482.25
  5. Step 5: Solve for x
    x = 135,487,671,482.25/249,801
  6. Step 6: Final answer
    x = 542,382.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.