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Finding the Third Proportional to 145,883.53 and 315,748.13

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Solution

The third proportional to 145,883.53 and 315,748.13 is: 683,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,883.53 : 315,748.13 = 315,748.13 : x
  2. Step 2: Convert to fraction form
    145,883.53/315,748.13 = 315,748.13/x
  3. Step 3: Cross multiply
    145,883.53x = 315,748.13 × 315,748.13
  4. Step 4: Simplify right side
    145,883.53x = 99,696,878,441.02
  5. Step 5: Solve for x
    x = 99,696,878,441.02/145,883.53
  6. Step 6: Final answer
    x = 683,400.50

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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.