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Finding the Third Proportional to 255,210.75 and 549,423

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Solution

The third proportional to 255,210.75 and 549,423 is: 1,182,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,210.75 : 549,423 = 549,423 : x
  2. Step 2: Convert to fraction form
    255,210.75/549,423 = 549,423/x
  3. Step 3: Cross multiply
    255,210.75x = 549,423 × 549,423
  4. Step 4: Simplify right side
    255,210.75x = 301,865,632,929
  5. Step 5: Solve for x
    x = 301,865,632,929/255,210.75
  6. Step 6: Final answer
    x = 1,182,809.24

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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.