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Finding the Third Proportional to 255,811.50 and 357,823.50

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Solution

The third proportional to 255,811.50 and 357,823.50 is: 500,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,811.50 : 357,823.50 = 357,823.50 : x
  2. Step 2: Convert to fraction form
    255,811.50/357,823.50 = 357,823.50/x
  3. Step 3: Cross multiply
    255,811.50x = 357,823.50 × 357,823.50
  4. Step 4: Simplify right side
    255,811.50x = 128,037,657,152.25
  5. Step 5: Solve for x
    x = 128,037,657,152.25/255,811.50
  6. Step 6: Final answer
    x = 500,515.64

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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.