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Finding the Third Proportional to 141,657.61 and 307,045.69

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Solution

The third proportional to 141,657.61 and 307,045.69 is: 665,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,657.61 : 307,045.69 = 307,045.69 : x
  2. Step 2: Convert to fraction form
    141,657.61/307,045.69 = 307,045.69/x
  3. Step 3: Cross multiply
    141,657.61x = 307,045.69 × 307,045.69
  4. Step 4: Simplify right side
    141,657.61x = 94,277,054,212.35
  5. Step 5: Solve for x
    x = 94,277,054,212.35/141,657.61
  6. Step 6: Final answer
    x = 665,527.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.