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Finding the Third Proportional to 241,095 and 367,258.50

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Solution

The third proportional to 241,095 and 367,258.50 is: 559,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,095 : 367,258.50 = 367,258.50 : x
  2. Step 2: Convert to fraction form
    241,095/367,258.50 = 367,258.50/x
  3. Step 3: Cross multiply
    241,095x = 367,258.50 × 367,258.50
  4. Step 4: Simplify right side
    241,095x = 134,878,805,822.25
  5. Step 5: Solve for x
    x = 134,878,805,822.25/241,095
  6. Step 6: Final answer
    x = 559,442.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.