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Finding the Third Proportional to 153,090 and 223,587

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Solution

The third proportional to 153,090 and 223,587 is: 326,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,090 : 223,587 = 223,587 : x
  2. Step 2: Convert to fraction form
    153,090/223,587 = 223,587/x
  3. Step 3: Cross multiply
    153,090x = 223,587 × 223,587
  4. Step 4: Simplify right side
    153,090x = 49,991,146,569
  5. Step 5: Solve for x
    x = 49,991,146,569/153,090
  6. Step 6: Final answer
    x = 326,547.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.