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Finding the Third Proportional to 139,927.50 and 304,681.50

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Solution

The third proportional to 139,927.50 and 304,681.50 is: 663,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,927.50 : 304,681.50 = 304,681.50 : x
  2. Step 2: Convert to fraction form
    139,927.50/304,681.50 = 304,681.50/x
  3. Step 3: Cross multiply
    139,927.50x = 304,681.50 × 304,681.50
  4. Step 4: Simplify right side
    139,927.50x = 92,830,816,442.25
  5. Step 5: Solve for x
    x = 92,830,816,442.25/139,927.50
  6. Step 6: Final answer
    x = 663,420.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.