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Finding the Third Proportional to 190,044 and 415,386

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Solution

The third proportional to 190,044 and 415,386 is: 907,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,044 : 415,386 = 415,386 : x
  2. Step 2: Convert to fraction form
    190,044/415,386 = 415,386/x
  3. Step 3: Cross multiply
    190,044x = 415,386 × 415,386
  4. Step 4: Simplify right side
    190,044x = 172,545,528,996
  5. Step 5: Solve for x
    x = 172,545,528,996/190,044
  6. Step 6: Final answer
    x = 907,924.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.