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Finding the Third Proportional to 146,265.75 and 319,312.13

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Solution

The third proportional to 146,265.75 and 319,312.13 is: 697,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,265.75 : 319,312.13 = 319,312.13 : x
  2. Step 2: Convert to fraction form
    146,265.75/319,312.13 = 319,312.13/x
  3. Step 3: Cross multiply
    146,265.75x = 319,312.13 × 319,312.13
  4. Step 4: Simplify right side
    146,265.75x = 101,960,233,172.02
  5. Step 5: Solve for x
    x = 101,960,233,172.02/146,265.75
  6. Step 6: Final answer
    x = 697,088.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.