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Finding the Third Proportional to 145,998 and 315,300

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Solution

The third proportional to 145,998 and 315,300 is: 680,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,998 : 315,300 = 315,300 : x
  2. Step 2: Convert to fraction form
    145,998/315,300 = 315,300/x
  3. Step 3: Cross multiply
    145,998x = 315,300 × 315,300
  4. Step 4: Simplify right side
    145,998x = 99,414,090,000
  5. Step 5: Solve for x
    x = 99,414,090,000/145,998
  6. Step 6: Final answer
    x = 680,927.75

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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.