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Finding the Third Proportional to 152,031 and 238,490.63

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Solution

The third proportional to 152,031 and 238,490.63 is: 374,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031 : 238,490.63 = 238,490.63 : x
  2. Step 2: Convert to fraction form
    152,031/238,490.63 = 238,490.63/x
  3. Step 3: Cross multiply
    152,031x = 238,490.63 × 238,490.63
  4. Step 4: Simplify right side
    152,031x = 56,877,778,212.89
  5. Step 5: Solve for x
    x = 56,877,778,212.89/152,031
  6. Step 6: Final answer
    x = 374,119.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.