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Finding the Third Proportional to 235,870.50 and 314,248.50

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Solution

The third proportional to 235,870.50 and 314,248.50 is: 418,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,870.50 : 314,248.50 = 314,248.50 : x
  2. Step 2: Convert to fraction form
    235,870.50/314,248.50 = 314,248.50/x
  3. Step 3: Cross multiply
    235,870.50x = 314,248.50 × 314,248.50
  4. Step 4: Simplify right side
    235,870.50x = 98,752,119,752.25
  5. Step 5: Solve for x
    x = 98,752,119,752.25/235,870.50
  6. Step 6: Final answer
    x = 418,670.92

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.