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Finding the Third Proportional to 230,557.64 and 348,911.93

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Solution

The third proportional to 230,557.64 and 348,911.93 is: 528,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,557.64 : 348,911.93 = 348,911.93 : x
  2. Step 2: Convert to fraction form
    230,557.64/348,911.93 = 348,911.93/x
  3. Step 3: Cross multiply
    230,557.64x = 348,911.93 × 348,911.93
  4. Step 4: Simplify right side
    230,557.64x = 121,739,534,678.26
  5. Step 5: Solve for x
    x = 121,739,534,678.26/230,557.64
  6. Step 6: Final answer
    x = 528,022.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.