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Finding the Third Proportional to 155,145.38 and 229,802.06

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Solution

The third proportional to 155,145.38 and 229,802.06 is: 340,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,145.38 : 229,802.06 = 229,802.06 : x
  2. Step 2: Convert to fraction form
    155,145.38/229,802.06 = 229,802.06/x
  3. Step 3: Cross multiply
    155,145.38x = 229,802.06 × 229,802.06
  4. Step 4: Simplify right side
    155,145.38x = 52,808,987,929.25
  5. Step 5: Solve for x
    x = 52,808,987,929.25/155,145.38
  6. Step 6: Final answer
    x = 340,383.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.