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Finding the Third Proportional to 153,673.13 and 314,933.25

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Solution

The third proportional to 153,673.13 and 314,933.25 is: 645,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,673.13 : 314,933.25 = 314,933.25 : x
  2. Step 2: Convert to fraction form
    153,673.13/314,933.25 = 314,933.25/x
  3. Step 3: Cross multiply
    153,673.13x = 314,933.25 × 314,933.25
  4. Step 4: Simplify right side
    153,673.13x = 99,182,951,955.56
  5. Step 5: Solve for x
    x = 99,182,951,955.56/153,673.13
  6. Step 6: Final answer
    x = 645,415.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.