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Finding the Third Proportional to 153,531 and 232,681.50

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Solution

The third proportional to 153,531 and 232,681.50 is: 352,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,531 : 232,681.50 = 232,681.50 : x
  2. Step 2: Convert to fraction form
    153,531/232,681.50 = 232,681.50/x
  3. Step 3: Cross multiply
    153,531x = 232,681.50 × 232,681.50
  4. Step 4: Simplify right side
    153,531x = 54,140,680,442.25
  5. Step 5: Solve for x
    x = 54,140,680,442.25/153,531
  6. Step 6: Final answer
    x = 352,636.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.