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Finding the Third Proportional to 190,484 and 301,362

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Solution

The third proportional to 190,484 and 301,362 is: 476,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,484 : 301,362 = 301,362 : x
  2. Step 2: Convert to fraction form
    190,484/301,362 = 301,362/x
  3. Step 3: Cross multiply
    190,484x = 301,362 × 301,362
  4. Step 4: Simplify right side
    190,484x = 90,819,055,044
  5. Step 5: Solve for x
    x = 90,819,055,044/190,484
  6. Step 6: Final answer
    x = 476,780.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.