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Finding the Third Proportional to 139,146 and 297,967.50

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Solution

The third proportional to 139,146 and 297,967.50 is: 638,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,146 : 297,967.50 = 297,967.50 : x
  2. Step 2: Convert to fraction form
    139,146/297,967.50 = 297,967.50/x
  3. Step 3: Cross multiply
    139,146x = 297,967.50 × 297,967.50
  4. Step 4: Simplify right side
    139,146x = 88,784,631,056.25
  5. Step 5: Solve for x
    x = 88,784,631,056.25/139,146
  6. Step 6: Final answer
    x = 638,068.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.