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Finding the Third Proportional to 142,952.34 and 304,904.25

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Solution

The third proportional to 142,952.34 and 304,904.25 is: 650,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952.34 : 304,904.25 = 304,904.25 : x
  2. Step 2: Convert to fraction form
    142,952.34/304,904.25 = 304,904.25/x
  3. Step 3: Cross multiply
    142,952.34x = 304,904.25 × 304,904.25
  4. Step 4: Simplify right side
    142,952.34x = 92,966,601,668.06
  5. Step 5: Solve for x
    x = 92,966,601,668.06/142,952.34
  6. Step 6: Final answer
    x = 650,332.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.