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Finding the Third Proportional to 249,054 and 376,173

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Solution

The third proportional to 249,054 and 376,173 is: 568,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,054 : 376,173 = 376,173 : x
  2. Step 2: Convert to fraction form
    249,054/376,173 = 376,173/x
  3. Step 3: Cross multiply
    249,054x = 376,173 × 376,173
  4. Step 4: Simplify right side
    249,054x = 141,506,125,929
  5. Step 5: Solve for x
    x = 141,506,125,929/249,054
  6. Step 6: Final answer
    x = 568,174.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.