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Finding the Third Proportional to 246,097 and 385,547.50

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Solution

The third proportional to 246,097 and 385,547.50 is: 604,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,097 : 385,547.50 = 385,547.50 : x
  2. Step 2: Convert to fraction form
    246,097/385,547.50 = 385,547.50/x
  3. Step 3: Cross multiply
    246,097x = 385,547.50 × 385,547.50
  4. Step 4: Simplify right side
    246,097x = 148,646,874,756.25
  5. Step 5: Solve for x
    x = 148,646,874,756.25/246,097
  6. Step 6: Final answer
    x = 604,017.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.