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Finding the Third Proportional to 145,830.38 and 238,126.50

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Solution

The third proportional to 145,830.38 and 238,126.50 is: 388,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.38 : 238,126.50 = 238,126.50 : x
  2. Step 2: Convert to fraction form
    145,830.38/238,126.50 = 238,126.50/x
  3. Step 3: Cross multiply
    145,830.38x = 238,126.50 × 238,126.50
  4. Step 4: Simplify right side
    145,830.38x = 56,704,230,002.25
  5. Step 5: Solve for x
    x = 56,704,230,002.25/145,830.38
  6. Step 6: Final answer
    x = 388,836.89

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.