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Finding the Third Proportional to 147,259.69 and 317,685.38

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Solution

The third proportional to 147,259.69 and 317,685.38 is: 685,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,259.69 : 317,685.38 = 317,685.38 : x
  2. Step 2: Convert to fraction form
    147,259.69/317,685.38 = 317,685.38/x
  3. Step 3: Cross multiply
    147,259.69x = 317,685.38 × 317,685.38
  4. Step 4: Simplify right side
    147,259.69x = 100,923,997,488.89
  5. Step 5: Solve for x
    x = 100,923,997,488.89/147,259.69
  6. Step 6: Final answer
    x = 685,347.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.