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Finding the Third Proportional to 250,050.50 and 357,316.50

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Solution

The third proportional to 250,050.50 and 357,316.50 is: 510,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,050.50 : 357,316.50 = 357,316.50 : x
  2. Step 2: Convert to fraction form
    250,050.50/357,316.50 = 357,316.50/x
  3. Step 3: Cross multiply
    250,050.50x = 357,316.50 × 357,316.50
  4. Step 4: Simplify right side
    250,050.50x = 127,675,081,172.25
  5. Step 5: Solve for x
    x = 127,675,081,172.25/250,050.50
  6. Step 6: Final answer
    x = 510,597.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.