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Finding the Third Proportional to 146,364 and 315,528

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Solution

The third proportional to 146,364 and 315,528 is: 680,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,364 : 315,528 = 315,528 : x
  2. Step 2: Convert to fraction form
    146,364/315,528 = 315,528/x
  3. Step 3: Cross multiply
    146,364x = 315,528 × 315,528
  4. Step 4: Simplify right side
    146,364x = 99,557,918,784
  5. Step 5: Solve for x
    x = 99,557,918,784/146,364
  6. Step 6: Final answer
    x = 680,207.69

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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.