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Finding the Third Proportional to 118,521 and 258,346.50

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Solution

The third proportional to 118,521 and 258,346.50 is: 563,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,521 : 258,346.50 = 258,346.50 : x
  2. Step 2: Convert to fraction form
    118,521/258,346.50 = 258,346.50/x
  3. Step 3: Cross multiply
    118,521x = 258,346.50 × 258,346.50
  4. Step 4: Simplify right side
    118,521x = 66,742,914,062.25
  5. Step 5: Solve for x
    x = 66,742,914,062.25/118,521
  6. Step 6: Final answer
    x = 563,131.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.