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Finding the Third Proportional to 255,304 and 357,762.50

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Solution

The third proportional to 255,304 and 357,762.50 is: 501,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,304 : 357,762.50 = 357,762.50 : x
  2. Step 2: Convert to fraction form
    255,304/357,762.50 = 357,762.50/x
  3. Step 3: Cross multiply
    255,304x = 357,762.50 × 357,762.50
  4. Step 4: Simplify right side
    255,304x = 127,994,006,406.25
  5. Step 5: Solve for x
    x = 127,994,006,406.25/255,304
  6. Step 6: Final answer
    x = 501,339.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.