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Finding the Third Proportional to 255,033 and 549,090

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Solution

The third proportional to 255,033 and 549,090 is: 1,182,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,033 : 549,090 = 549,090 : x
  2. Step 2: Convert to fraction form
    255,033/549,090 = 549,090/x
  3. Step 3: Cross multiply
    255,033x = 549,090 × 549,090
  4. Step 4: Simplify right side
    255,033x = 301,499,828,100
  5. Step 5: Solve for x
    x = 301,499,828,100/255,033
  6. Step 6: Final answer
    x = 1,182,199.28

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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.