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Finding the Third Proportional to 258,907.50 and 349,798.50

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Solution

The third proportional to 258,907.50 and 349,798.50 is: 472,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,907.50 : 349,798.50 = 349,798.50 : x
  2. Step 2: Convert to fraction form
    258,907.50/349,798.50 = 349,798.50/x
  3. Step 3: Cross multiply
    258,907.50x = 349,798.50 × 349,798.50
  4. Step 4: Simplify right side
    258,907.50x = 122,358,990,602.25
  5. Step 5: Solve for x
    x = 122,358,990,602.25/258,907.50
  6. Step 6: Final answer
    x = 472,597.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.