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Finding the Third Proportional to 255,150.75 and 549,303

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Solution

The third proportional to 255,150.75 and 549,303 is: 1,182,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,150.75 : 549,303 = 549,303 : x
  2. Step 2: Convert to fraction form
    255,150.75/549,303 = 549,303/x
  3. Step 3: Cross multiply
    255,150.75x = 549,303 × 549,303
  4. Step 4: Simplify right side
    255,150.75x = 301,733,785,809
  5. Step 5: Solve for x
    x = 301,733,785,809/255,150.75
  6. Step 6: Final answer
    x = 1,182,570.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.