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Finding the Third Proportional to 145,246.50 and 313,429.50

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Solution

The third proportional to 145,246.50 and 313,429.50 is: 676,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,246.50 : 313,429.50 = 313,429.50 : x
  2. Step 2: Convert to fraction form
    145,246.50/313,429.50 = 313,429.50/x
  3. Step 3: Cross multiply
    145,246.50x = 313,429.50 × 313,429.50
  4. Step 4: Simplify right side
    145,246.50x = 98,238,051,470.25
  5. Step 5: Solve for x
    x = 98,238,051,470.25/145,246.50
  6. Step 6: Final answer
    x = 676,354.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.