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Finding the Third Proportional to 146,403 and 305,514

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Solution

The third proportional to 146,403 and 305,514 is: 637,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,403 : 305,514 = 305,514 : x
  2. Step 2: Convert to fraction form
    146,403/305,514 = 305,514/x
  3. Step 3: Cross multiply
    146,403x = 305,514 × 305,514
  4. Step 4: Simplify right side
    146,403x = 93,338,804,196
  5. Step 5: Solve for x
    x = 93,338,804,196/146,403
  6. Step 6: Final answer
    x = 637,547.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.