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Finding the Third Proportional to 239,428.41 and 357,066

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Solution

The third proportional to 239,428.41 and 357,066 is: 532,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,428.41 : 357,066 = 357,066 : x
  2. Step 2: Convert to fraction form
    239,428.41/357,066 = 357,066/x
  3. Step 3: Cross multiply
    239,428.41x = 357,066 × 357,066
  4. Step 4: Simplify right side
    239,428.41x = 127,496,128,356
  5. Step 5: Solve for x
    x = 127,496,128,356/239,428.41
  6. Step 6: Final answer
    x = 532,502.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.