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Finding the Third Proportional to 84,688 and 190,952

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Solution

The third proportional to 84,688 and 190,952 is: 430,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,688 : 190,952 = 190,952 : x
  2. Step 2: Convert to fraction form
    84,688/190,952 = 190,952/x
  3. Step 3: Cross multiply
    84,688x = 190,952 × 190,952
  4. Step 4: Simplify right side
    84,688x = 36,462,666,304
  5. Step 5: Solve for x
    x = 36,462,666,304/84,688
  6. Step 6: Final answer
    x = 430,552.93

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.