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Finding the Third Proportional to 175,329.75 and 380,547.75

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Solution

The third proportional to 175,329.75 and 380,547.75 is: 825,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,329.75 : 380,547.75 = 380,547.75 : x
  2. Step 2: Convert to fraction form
    175,329.75/380,547.75 = 380,547.75/x
  3. Step 3: Cross multiply
    175,329.75x = 380,547.75 × 380,547.75
  4. Step 4: Simplify right side
    175,329.75x = 144,816,590,030.06
  5. Step 5: Solve for x
    x = 144,816,590,030.06/175,329.75
  6. Step 6: Final answer
    x = 825,967.01

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Why These Related Problems?

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