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Finding the Third Proportional to 208,065 and 272,038.50

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Solution

The third proportional to 208,065 and 272,038.50 is: 355,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065 : 272,038.50 = 272,038.50 : x
  2. Step 2: Convert to fraction form
    208,065/272,038.50 = 272,038.50/x
  3. Step 3: Cross multiply
    208,065x = 272,038.50 × 272,038.50
  4. Step 4: Simplify right side
    208,065x = 74,004,945,482.25
  5. Step 5: Solve for x
    x = 74,004,945,482.25/208,065
  6. Step 6: Final answer
    x = 355,681.86

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.