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Finding the Third Proportional to 148,203 and 314,860.50

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Solution

The third proportional to 148,203 and 314,860.50 is: 668,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,203 : 314,860.50 = 314,860.50 : x
  2. Step 2: Convert to fraction form
    148,203/314,860.50 = 314,860.50/x
  3. Step 3: Cross multiply
    148,203x = 314,860.50 × 314,860.50
  4. Step 4: Simplify right side
    148,203x = 99,137,134,460.25
  5. Step 5: Solve for x
    x = 99,137,134,460.25/148,203
  6. Step 6: Final answer
    x = 668,927.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.