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Finding the Third Proportional to 196,209 and 310,897.50

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Solution

The third proportional to 196,209 and 310,897.50 is: 492,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,209 : 310,897.50 = 310,897.50 : x
  2. Step 2: Convert to fraction form
    196,209/310,897.50 = 310,897.50/x
  3. Step 3: Cross multiply
    196,209x = 310,897.50 × 310,897.50
  4. Step 4: Simplify right side
    196,209x = 96,657,255,506.25
  5. Step 5: Solve for x
    x = 96,657,255,506.25/196,209
  6. Step 6: Final answer
    x = 492,623.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.