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Finding the Third Proportional to 183,490 and 282,119

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Solution

The third proportional to 183,490 and 282,119 is: 433,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,490 : 282,119 = 282,119 : x
  2. Step 2: Convert to fraction form
    183,490/282,119 = 282,119/x
  3. Step 3: Cross multiply
    183,490x = 282,119 × 282,119
  4. Step 4: Simplify right side
    183,490x = 79,591,130,161
  5. Step 5: Solve for x
    x = 79,591,130,161/183,490
  6. Step 6: Final answer
    x = 433,762.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.