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Finding the Third Proportional to 151,527.19 and 319,029.38

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Solution

The third proportional to 151,527.19 and 319,029.38 is: 671,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,527.19 : 319,029.38 = 319,029.38 : x
  2. Step 2: Convert to fraction form
    151,527.19/319,029.38 = 319,029.38/x
  3. Step 3: Cross multiply
    151,527.19x = 319,029.38 × 319,029.38
  4. Step 4: Simplify right side
    151,527.19x = 101,779,742,112.89
  5. Step 5: Solve for x
    x = 101,779,742,112.89/151,527.19
  6. Step 6: Final answer
    x = 671,692.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.