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Finding the Third Proportional to 210,178 and 249,058

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Solution

The third proportional to 210,178 and 249,058 is: 295,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178 : 249,058 = 249,058 : x
  2. Step 2: Convert to fraction form
    210,178/249,058 = 249,058/x
  3. Step 3: Cross multiply
    210,178x = 249,058 × 249,058
  4. Step 4: Simplify right side
    210,178x = 62,029,887,364
  5. Step 5: Solve for x
    x = 62,029,887,364/210,178
  6. Step 6: Final answer
    x = 295,130.26

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.