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Finding the Third Proportional to 144,747 and 314,248.50

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Solution

The third proportional to 144,747 and 314,248.50 is: 682,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,747 : 314,248.50 = 314,248.50 : x
  2. Step 2: Convert to fraction form
    144,747/314,248.50 = 314,248.50/x
  3. Step 3: Cross multiply
    144,747x = 314,248.50 × 314,248.50
  4. Step 4: Simplify right side
    144,747x = 98,752,119,752.25
  5. Step 5: Solve for x
    x = 98,752,119,752.25/144,747
  6. Step 6: Final answer
    x = 682,239.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.