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Finding the Third Proportional to 230,815.13 and 360,802.69

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Solution

The third proportional to 230,815.13 and 360,802.69 is: 563,995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,815.13 : 360,802.69 = 360,802.69 : x
  2. Step 2: Convert to fraction form
    230,815.13/360,802.69 = 360,802.69/x
  3. Step 3: Cross multiply
    230,815.13x = 360,802.69 × 360,802.69
  4. Step 4: Simplify right side
    230,815.13x = 130,178,579,307.22
  5. Step 5: Solve for x
    x = 130,178,579,307.22/230,815.13
  6. Step 6: Final answer
    x = 563,995.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.