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Finding the Third Proportional to 142,496.72 and 304,904.25

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Solution

The third proportional to 142,496.72 and 304,904.25 is: 652,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,496.72 : 304,904.25 = 304,904.25 : x
  2. Step 2: Convert to fraction form
    142,496.72/304,904.25 = 304,904.25/x
  3. Step 3: Cross multiply
    142,496.72x = 304,904.25 × 304,904.25
  4. Step 4: Simplify right side
    142,496.72x = 92,966,601,668.06
  5. Step 5: Solve for x
    x = 92,966,601,668.06/142,496.72
  6. Step 6: Final answer
    x = 652,412.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.