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Finding the Third Proportional to 237,875.81 and 368,664.56

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Solution

The third proportional to 237,875.81 and 368,664.56 is: 571,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,875.81 : 368,664.56 = 368,664.56 : x
  2. Step 2: Convert to fraction form
    237,875.81/368,664.56 = 368,664.56/x
  3. Step 3: Cross multiply
    237,875.81x = 368,664.56 × 368,664.56
  4. Step 4: Simplify right side
    237,875.81x = 135,913,559,643.32
  5. Step 5: Solve for x
    x = 135,913,559,643.32/237,875.81
  6. Step 6: Final answer
    x = 571,363.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.