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Finding the Third Proportional to 153,052.03 and 237,881.81

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Solution

The third proportional to 153,052.03 and 237,881.81 is: 369,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,052.03 : 237,881.81 = 237,881.81 : x
  2. Step 2: Convert to fraction form
    153,052.03/237,881.81 = 237,881.81/x
  3. Step 3: Cross multiply
    153,052.03x = 237,881.81 × 237,881.81
  4. Step 4: Simplify right side
    153,052.03x = 56,587,756,718.29
  5. Step 5: Solve for x
    x = 56,587,756,718.29/153,052.03
  6. Step 6: Final answer
    x = 369,728.88

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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.