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Finding the Third Proportional to 249,795 and 368,077.50

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Solution

The third proportional to 249,795 and 368,077.50 is: 542,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,795 : 368,077.50 = 368,077.50 : x
  2. Step 2: Convert to fraction form
    249,795/368,077.50 = 368,077.50/x
  3. Step 3: Cross multiply
    249,795x = 368,077.50 × 368,077.50
  4. Step 4: Simplify right side
    249,795x = 135,481,046,006.25
  5. Step 5: Solve for x
    x = 135,481,046,006.25/249,795
  6. Step 6: Final answer
    x = 542,368.93

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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.