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Finding the Third Proportional to 191,560 and 288,798

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Solution

The third proportional to 191,560 and 288,798 is: 435,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,560 : 288,798 = 288,798 : x
  2. Step 2: Convert to fraction form
    191,560/288,798 = 288,798/x
  3. Step 3: Cross multiply
    191,560x = 288,798 × 288,798
  4. Step 4: Simplify right side
    191,560x = 83,404,284,804
  5. Step 5: Solve for x
    x = 83,404,284,804/191,560
  6. Step 6: Final answer
    x = 435,395.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.