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Finding the Third Proportional to 175,254 and 380,033

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Solution

The third proportional to 175,254 and 380,033 is: 824,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,254 : 380,033 = 380,033 : x
  2. Step 2: Convert to fraction form
    175,254/380,033 = 380,033/x
  3. Step 3: Cross multiply
    175,254x = 380,033 × 380,033
  4. Step 4: Simplify right side
    175,254x = 144,425,081,089
  5. Step 5: Solve for x
    x = 144,425,081,089/175,254
  6. Step 6: Final answer
    x = 824,090.07

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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.